Depending on when you're around, I might be able to help you.
Next Monday I will have a work-related meeting until something like 17 or 18:00 and after that I'm free to blob blob around and help you with the money-changing stuff. You should be able to change money at least in some banks, even though you are a foreigner. Not all banks will accept you, but still I'd say definitely at least 60% will agree to change. Maybe even closer to 80%.
Most of the banks close at 16:15, but there are exceptions:
The S-Group, which owns the large shops "Sokos" and "Prisma", has become a bank, as well. All of the Sokos and Prisma shops are open every day. Between Sunday and Friday they are open until 21:00 and that way you can change money even if you're quite late around the downtown. The bank desk is the info desk of the shop. First a bit weird going there for banking, but that's my own main Finnish bank and works just as any bank would

The bank is called S-Pankki, but no spanking is required in order to change money. One Sokos is right next to the central railway station, another one is about 3 minutes by any tram in direction northeast from the station, right after the bridge. The airport bus even passes it on its way to the railway station.
There is a Prisma in shopping centre Jumbo, which the airport bus passes shortly after the airport. The shopping centre is quite annoying, though. The only doors there are through a rather large and ugly parking hall and inside there you have a million kilometers of corridors so wide it ends up looking disgusting..
There is a Nordea bank at the side of the Central Railway station, that is open until 18:00. There is a Sampo bank that is open until 18:00, somewhere about 200m west-southwest from the central railway station.
If you want to create a minute-precise plan for your travel, please use
http://aikataulut.ytv.fi/reittiopas/en/ for it. You can just click the stuff on the map if you don't know the addresses.
If you wanna call me, my number as long as I am present in this culture-shocking stupid country is +358442060560 .