At the risk of sounding like a primitivist, I have to say that a pretty conservative number would be at around three billion.
My Botany professor assures me that eventually we will hit a rooftop and mass starvation/disease will stabilize our population if we don't do it now.
"The recurrence of periods of depression and mass unemployment has discredited capitalism in the opinion of injudicious people. Yet these events are not the outcome of the operation of the free market. They are on the contrary the result of well-intentioned but ill-advised government interference with the market."
—Ludwig von Mises