How do you choose texture max size for android?

I'm am currently building an android app that I want to be supported from most phones (all the phone needs is gyroscope). From what I read OpenGL2.0 does NOT guarantee max texture size.

1) I want to go for 2048x1024 for the largest texture. Will that be ok or are there active phones out there that will not handle it? 2) if that is the case what will be the result of trying to show such a texture? 3) What would I set max texture size for ARCore app (different app)

Thank you for your time!