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2600mAh Battery Charging Time

I've spent a very long time trying to work this out, but some websites seem to conflict the information - or I'm completely missing the point.

I have a rechargeable battery:

  • 2600mAh
  • 4.2V max charge voltage
  • 9.62Wh energy
  • It is to charge from a vehicle 12V or 24V (battery runs through a circuit's designed for vehicle tracking).

    What I'm trying to work out is:

  • The A - is it 2.6A? Is this the same as Ah? Meaning it will only last about the 2.5 hour mark before running out of juice.
  • The approximate charge time. I was using 12V but then read the max charge voltage on the side of the battery
  • I have one of the batteries connected to a PSU, but the current needle flips up a few bars, then drops straight back down. The battery was flat, so I'm not really sure what's happening. Appreciate any help understanding this.