If the purpose is to display family photos, I don't know that there'll be a lot of zooming going on.
I recently exported a bunch of images to my phone as a 'pocket portfolio' and sized them to 1920 on the long side, letting the short side be whatever it is based on the crop dimensions. Works really well. Images are very crisp and clean on screen.
Apart from the fact that "crisp and clean" really do mean nothing...
every choice is a choice. You can put 2000 or 2048 in final export dimension: same effort.
So the question would be: is there any reason to export for 2000 pixels when the standard longest size is 1.953 times smaller? I would say NO.
Is there any reason to export for 2048 pixels when the standard longest size is 2 times smaller? I'de say definitely YES: scaling is much better and easier.
I think there must be a reason why Apple limit photo dimensions as 2048x2048 and not 2000x2000, don't you agree?