What does the output amperage rating of a AC-DC converter mean?

You really already answered your own question. The 2.4A is the max amperage that this AC adapter can supply at the 5V. The answer is yes if you have a 5V that needs 2.4A or less you can use this adapter.

Make sure you that the adapter plugs polarity matches that what you are trying to use. Both the device and the ac adapter will have a little ball and socket diagram that has a + and - marked on to it. The ball is the internal tip of the ac adapter and the outside is the socket.

The + and - much match or else you could smoke the device or the adapter.

Most wall transformers have no active regulation. The output will vary based upon input voltage (+/- 10%) and load. In your case, 5V transformers are more likely to be switching or actively regulated power supplies.

This is important because a lower cost unregulated power adapter could provide higher voltage at low load (a common problem) resulting in damage to devices expecting well regulated 5V. If your adapter has correct polarity, and states "switching" or "regulated" I would agree that it should work for your device. Do not use an unregulated supply unless you can verify the device will accept unregulated AC/DC power.Do not use such a device without proper safety agency approvals (UL, TUV, CUL).

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