For performance reasons, I'd recommend not going over 1024x1024 for a 2D game. Most hardware will happily go up to 2048x2048 and even 4096x4096 but binding textures of this size can be so slow on older/weaker hardware that it's actually slower than the state changes associated with using more smaller textures. Don't ask me why that should be though, as it's decidedly counter-intuitive from my perspective.
Of course, this isn't the answer I'd give if you were making a 3D game with terrains, but I'm assuming from the question and the forum choice that you're making a 2D game in vanilla Max2D.
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