Learn English – word for four times as much, analogous to once, twice, and thrice

It was done once. It was done twice. It was done never. It was never done.

It's actually quite unusual to see two times except in a small number of specific contexts...

• two times two is four (reciting multiplication tables, in which context this chart is interesting)

• three tablets two times a day (medical prescriptions)

• the interval between these two times (where "times" is a noun)

• my salary rose two times last year (ugly, IMHO, but people do say this sometimes)

I can't think offhand of any other usages where twice wouldn't be preferred. The picture is very different with thrice, where the short form is almost archaic, and the longer form is standard.