Why would it want to be everywhere and comprehend everything? Human actions are driven by emotions and feelings in an effort to avoid pain and derive pleasure, as much as possible. The desire to learn new things is no exception. If you don't provide needs and means for their satisfaction, your thinking machine will just sit where you leave it, in a state of self-contemplation (of sorts).
This. So much this. Human desires/goals are shaped by the process of evolution, that's why we're selfish. If the artificial intelligence is "simply" created without selfish desires/goals it's in my opinion very likely that it'll be the most benevolent creature to ever exist.