Problem with big size textures (Texture2D 1024x2048 won't fit)

Hello) I have this message in editor.log while built for android (iphone the same):
Texture2D 1024x2048 won’t fit, reducing size (needed mem=10922 used mem=4277 allowedmem=11396)

After this i test this build on phone and have black square instead of my texture.

Who now what is it? What is this message means?

It means your texture is far too big to fit in memory.

1024x2048 for mobile is really big.

ok, What about ipad? he has big resalution. And smal texture wiil be stretch incorrect. This texture i use as a background. Do i have some way to increase this memory? (Some time i had success to build with this texture)