Stage3D limits the texture size to 2048x2048 because not all GPUs can handle bigger textures. So naturally you can't use larger textures. If that isn't big enough for you (it's understandable that you can't fit a whole planet in a 2048x2048 texture) you have three options:
1) Use multiple textures. You can pass more than one texture to the fragment shader.
2) Use smarter uv mapping. You can for example use a small tiling area for grass, rock, dirt, water etc. and map them to correct locations on the globe.
3) Use some Level of Detail (LOD) system. For example, when the camera gets closer to the sphere, swap the model into a more detailed one which contains only the area visible to the player. The texture used by the more detailed model doesn't need to cover the whole globe and can therefore be more detailed.
Depending on the size of your planet, one of these might be enough, or you might need all of them.