here is the test chart......most likely it will need a air pump
DTC P2440 Diagnostic Instructions
DTC Descriptor DTC P2440
Diagnostic Fault Information
During phase 1, both the AIR pump and the solenoid valve are activated. Normal secondary air function occurs. Expected system pressure is 8-10 kPa above BARO.During phase 2, only the AIR pump is activated. The solenoid valve is closed. Pressure sensor performance and solenoid valve deactivation are tested. Expected system pressure is 15-20 kPa above BARO.During phase 3, neither the AIR pump nor the solenoid valve is activated. AIR pump deactivation is tested. Expected system pressure equals BARO.In all 3 phases, testing is accomplished by comparing the measured pressure against the expected pressure. The ECM can detect faults in the AIR pump, AIR control solenoid valve/pressure sensor assembly, and the exhaust check valve. The pressure sensor can also detect leaks and restrictions in the secondary AIR system plumbing.Conditions for Running the DTC
Conditions for Setting the DTC
Action Taken When the DTC Sets DTC P2440 is a Type B DTC.Conditions for Clearing the MIL/DTC DTC P2440 is a Type B DTC.Circuit/System Verification Important: This DTC may set if the ignition is turned OFF and the engine is restarted within approximately 30 seconds during Phase 2 of the AIR diagnostic test.
Component Testing Relay Test
Repair Verification With the engine running, enable the AIR pump and observe that the AIR Pressure Sensor parameter increases to approximately 15-20 kPa above BARO.
Secondary Air Injection Pump Replacement Removal Procedure