Yes. In English "even number, or the number zero" technically can also mean that terms "even number" and "zero" have same meanings, i. e. "even number aka the number zero".
which is clearly yet another, different use of "or". i don't know why people are quibbling about this point, the usage the article cites pretty unambiguously means "all the even numbers, and zero even if you don't consider it an even number"