On startup, my ink cartridge on hp2410 is stuck to the right. I cannot move it

I had the same error on my WF-3620 with CISS and the solution is simple: my ink cartridge cover is removed and the only way how printer can determine that the ink cartridge cover is not latched is when something prevents ink cartridge carriage from moving to the right edge. In my case somewhy ink cartridge carriage got stuck and I just pushed it slightly with my hand and the error got solved. Note that you have to push ink cartridge carriage when it tries to move immediately after you press cover open sensor.

I just fixed mine tonight. I don't know how it got stuck on the right side, but it really felt like something was preventing it from moving. I took a small star head on a screwdriver and removed the screws to the inner cover so I could get to the cartridge carrier. (You have to remove 2 behind the display screen too.). I wiggled and jiggled the carrier left, right, up and down without forcing. I then took out all the ink cartridges. At some point the carrier began moving by itself a little further to the right, then to the middle and told me to put in the ink cartridges. That's it!

Sometimes the ink cartridge carrier won't automatically move to its loading position even when the printer is on and the cover is open. Follow the steps below:

1. Unplug the printer from the power source.

2. With the cover open, hold the solid white strip that connects from the carrier assembly to the ink cartridge carrier and gently slide the cartridge carrier to the center of the printer.

3. Remove the used cartridges.

4. Load the new cartridges. Close the cover.

5. Plug the printer back to the power source.

did you switch the machine on and off

one of the paper sensors may be stuck pr damaged

I have to ask this question of you, just to make sure this is not an issue. Are you using a factory new ink or toner cartridge?
Please consider the following:
If you are using a refilled (the absolute worst possible choice) or third party cartridges (2nd. Worst possible choice) that may well be your problem. Most manufacturers build logic into their products to prevent the use of “Other Equipment Manufactured” cartridges as well as re-filled cartridges.
They do this to prevent problems from contaminated inks or toner causing problems with print quality or damaging the physical printhead or photo conductors.
If you are using factory new ink or toner cartridges, then please call the manufacturer’s Technical Support for assistance with the warranty on the cartridges
Don

your printer ink cartridge can not access (move to middle) when you open up the cover, you may try
1) try to open right side cover you move the cartridge by hand (power off) to middle position, then take out the cartridge and reinstall it then power on, the cartridge moving right, you may open up the cover again if the cartridge go back the middle position which means your printer works normal. still stop moving go next
2) check the cartridge initcial sensor at righe side, the cartridge moving to the end of right should be touch this sensor, find out it and check there is good touch (click) by the cartridge body. adjust the sensor position maybe needed.
3) cartridge is stucked sometime also check the cartridge moving rail hard moving, need to drop oil to lubricate.

Go to the authorised service center and they will do the needful

The #58 cartridge goes into the right side...remove the black cartridge and insert the #58 cartridge. This give the printer a wider range of colors when printing photo.

Read the Manual- it is a simple procedure

I had the same problem with a hp 4315 it was a bad ink cartridge causing the problem. It did the same for a different hp printer.