Not much info on my computer but I have this if it helps any. seems like the relay is the place to start.
P2444 Secondary AIR System Pump Stuck On
* Check the operation of the secondary AIR pump relay
* Check the secondary AIR pump relay for a short to ground condition
* AIR combination valve has failed
* PCM has failed
Engine running; Secondary AIR system active, and the PCM detected a problem in the operation of the Secondary AIR Pump (it may be stuck "on").
This code sets in 1 Trip(s).
This code will turn on the MIL (Malfunction Indicator Lamp)