One might sweat a couple of liters/hr, and thus might manage 2 kW. But that's not needed. Between bright hot Sun, too hot, and dark cold deep-space sky, too cold, Earth spins, mixing too hot, and too cold, into not too bad. And so can you - the "barbeque roll" thermal management strategy for satellites. And if you're head-on to the Sun, or in shadow (holding an umbrella)... I don't recall whether radiative loss is sufficient to shed basal metabolic rate without sweating or not. If not, you might build yourself some elephant ears, and sleep with them edge-on to the Sun (and Earth). But EVA suits use water sublimation cooling - because people do EVA to strenuously exercise, even in the bright sun.
Science education content, down to kindergarten, mentions Sun heating Earth. But pervasively fails to mention deep-space sky cooling Earth. So a lot of explanatory leverage is left on the table - "Why are nights cold? Especially with clear sky? Especially in the desert? Why are mountains snow-capped? Why is winter colder?" etc. I wish I knew of a forum/community in which to discuss and create such improved content, but I've been failing to find one. :(