first of all, some questions that you might want to answer before anyone can recommend, for 2k budget, you can get a more than decent electric guitar for playing
1) what style of music are you looking for in playing electric guitar
2) What sort of music are you into,
3) Who are some of your fave guitar player(using electric guitar)
4) Are you into thin/flat neck or chunky neck
5) prefer 21, 22 or 24th frets
4) Prefer single coil tone(stratocastor), humbucker tone, tele tone or
anything in between
5) Prefer an electric with floyd rose or fixed tail
6) With piezo incuded or without(only if you want to have the acoustic sound in the electric guitar)
7) Into solid body guitar, semi hollow or hollow.
There are just some of the questions that i can think of now. But if you can provide some answers, it might help a lot in giving recommendation