> The highly diluted gas in this layer can reach 2,500 °C (4,530 °F) during the day. Even though the temperature is so high, one would not feel warm in the thermosphere, because it is so near vacuum that there is not enough contact with the few atoms of gas to transfer much heat.
[1] https://en.wikipedia.org/wiki/Thermosphere
Edit: typo
At the equator, on the surface of Earth, solar radiation is about 1kW per square meter. According to this¹ wikipedia article 55-60% of solar energy is lost on its way through the atmosphere.
So would ~2kW / square meter at thermosphere height be enough to make you feel warm-hot despite the heat lost to evaporative cooling from sweating?
1. https://en.wikipedia.org/wiki/Space-based_solar_power
Edit: correct highest to height
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. :(