We completely neglected to thin the backyard apricot tree, so we have a huge crop of tiny apricots this year.
Early pickings go into the dehydrator. Later fruit will go into the freezer to eventually become jam. And of course we also eat them fresh until the whole family is sick of them.
2 to 3 weeks is no problem. I have read that they should keep for 6 to 12 months, but I have not experimented with keeping them that long at room temperature.
We store them in the freezer, then take out batches one at a time for snacking. Each batch doesn't last very long once my kids realize it's open.