Suspiciously high number of web visits from "exotic" countries

I set up a small business website which is only displaying informations about the offered services and some contact informations. It is not interactive at all and no user is enabled to submit any data. We are now monitoring the visits and pis with the tools offered by google. Since the first days after the going public we are observing a lot of ips from places in the world we have absolutely no relation to (like Russia, China, Brazil, even some african states...). Also the overall number of visits is much higher than we expected. Now I'm wondering where these "exotic" visitors may come from. And if this is some kind of attack we should be aware of and protect somehow. Does anybody know what might be happening here?