All possible on that unit. You can also do it on the 2720 which is the predecessor to the 2820 and successor to the 2610. Both run the more recent and still updated NT mapping, have full postcode serach, pseudo 3D display option, practically limitless custom POI capacity, proximity alerts for safety cameras etc. Basically a big leap on from the 2610.
The 2820 lacks very little in the way of features compared to the Zumo 550; the older GPS receiver chip is maybe not as fast to acquire or quite as steady (negligible though), no SD slot (all the mapping and other data fits comfortably onto the internal memory - 2GB). It will play MP3s though it's capacity is more limited compared to the Zumo.
Full feature list here.
The 2720 lacks the BlueTooth and MP3 but is otherwise the same as the 2820,
spec sheet here.
Both 2720s and 2820s are quite hard to come by, they occasionally crop up on eBay. More frequently and far, far cheaper on eBay USA although the mapping will be for that continent. This is more of a problem than you can imagine as you have to buy the retail version of City Nav Europe NT which isn't cheap and then, officially, you can't overwrite the installed US mapping but have to load the bit of Europe you want into the spare memory alongside the US mapping. You can fit about half of it on choosing the countries you want. There is a hack to get around this and replace the US mapping with full Europe but it's a bit involved and techie. If you do go down this route I can advise you.
I have a 2720 which I got off eBay a couple of years ago for £155 with quite a few useful accessories. I purchased it in the knowledge that it was a US import, the previous owner had bought the Euro mapping. I later found the means to convert it to full Euro mapping. It's great and does everything I need it to do.
When buying a Garmin on eBay you need to be aware of exactly what your getting and make sure that the vital unlock code for the mapping is included and, assuming that it's registered to a myGarmin account, that the seller is willing to confirm the sale to Garmin to allow the ownership to be transferred to you. Without this mapping updates will be impossible.