Where did you get this? Agents vary wildly, so you might need to write more than one synopsis, as horrible as that sounds. I've seen some agents demand a page long synopsis, and some request a 4-6 page synopsis.
Zegota, I get where you're coming from, but in this case the 1k rule is actually pretty good advice. Some agents will request a 1-page synopsis, and some a 5 or 10-pager, but 9 times out of 10 they don't specify length.
In which case, 2 pages single-spaced is about the average, and about 1k words.
My synopsis was about 900 words. I was paranoid about it getting too long but was assured it was fine.
I do think 2k is pushing it for a standard, boilerplate synopsis, unless possibly you are the reincarnation of Robert Jordan.