This is most likely probably tied to the difficulty. If the difficulty level were to be 32, any given hashed block would have a 1/2^32 chance of being a valid block to append to the block chain.
At the time of writing this, the difficulty is 31.25. It is possible that the article you were looking at was rounding. It changes roughly every 2 weeks to account for the varying hash power that the miners around the world are putting towards the problem. If more people are devoting energy towards mining, the blocks come a bit faster than desired, and the algorithm increases the difficulty to slow it down. If lots of people suddenly stop mining, then the blocks come slower, and the algorithm will decrease the difficulty.
All that being said, this is just a guess. If you can post a link to the article with context, it will be easier to figure out if that is truly the particular number you want. There are other numbers out there. For instance, blocks have a 32-bit nonce at the end of them, so a factor of 2^32 could appear there.
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