The oxidation number of copper depends on its state.
The oxidation number of metallic copper is zero.
In its compounds the most common oxidation number of Cu is +2. Less common is +1. Copper can also have oxidation number of +3 and +4.
ON=+2 Examples are CuCl2,CuO andCuSO4
ON=+1 example are CuCl,Cu2O and Cu2S
On=+3 examples are KCUO2 and K3CuF6
ON=+4 an example is Cs2CuF6