徹夜して

[healer]

The following sentence is on Special Expressions with Generic Nouns.
徹夜して、宿題することはある。
There are times when I do homework while staying up all night.

What is して after 徹夜?
I can only work out して is the te-form of する.
What does it do or mean there?

 

[Toritoribe]

徹夜して is the -te form of a -suru verb 徹夜する. The -te form is for the means there, similar to 徹夜で.
e.g.
歩いて学校に行く。
働いて借金を返す。

 

[healer]

Sorry, it didn't occur to me that was a suru verb at the time.
Well done Sir, thanks!