This calculator[1] indicates that the temperature for a 2.5 cm radius black hole should be 0.007 K. So below the temperature of the cosmic background (2.7 K).
[1] https://www.vttoth.com/CMS/physics-notes/311-hawking-radiati...
[1] https://www.vttoth.com/CMS/physics-notes/311-hawking-radiati...
Edit: For those interested, there is an entire article on "Black Hole Thermodynamics" on Wikipedia (https://en.wikipedia.org/wiki/Black_hole_thermodynamics)
Of course eventually the expanding universe will drop the temperature of the cosmic background radiation further and the process will reverse.