This is a very clear example that happens with a swimming pool, when the service neutral has a voltage drop it rises above the earth potential, this small voltage rise is now what people feel when trying to get out of a pool that has the hand rails bonded to the service neutral but the concrete of the pool is not bonded which is at the potential of Earth, in this case the copper drain pipe is at the Earth potential and the sink and or cold water pipe is at the potential of the service neutral, like Don said if you took a long wire and stuck a screw driver into the ground away from the service you would most likely see the same voltage between the screw driver and the grounding of the house which is bonded to the service neutral, like you said when you directly measured between the cold water pipe and the copper drain pipe and saw 2.2 volts, this is most likely what you would see on the screw driver to the grounding of the house, it is not the Earth that has a raised voltage but it is the service neutral of the house that has a normal voltage drop that causes the neutral and the grounding of the house to be at an above potential to Earth, and the copper drain pipe is at Earth potential.
2.2 volts is not an unrealistic voltage drop on a neutral, and since you still had this voltage after turning off the main it is most likely coming from the primary neutral since the primary neutral and the secondary neutral are bonded together at the transformer, if you were seeing something above 10 volts then I would be worried as this is a good indication of an open primary neutral somewhere down the road, but 2.2 volts is not that far out.
Put a permanent bond between the copper drain and the cold water pipe and you should be good to go, I would in about a month recheck the voltage between the service grounding and remote Earth to see if it has got any higher, you can expect a few more volts if the load on the primary neutral is increased but you should not see anything up around 10 volts, if it does start getting that high then call your POCO immediately