I think a thorough (a very, very thorough) investigation of his business activities is in order. After all, anyone that rich has to be in the pocket of a foreign govt, right? And let's not forget that you can't get that rich unless you've stolen from the poor.
In fact, I suggest we get to work on the articles of impeachment for president Bloomberg right now.
The precedent has been set:
https://www.washingtonpost.com/news/post-politics/wp/2017/01/20/the-campaign-to-impeach-president-trump-has-begun/
“We think that President Trump will be in violation of the Constitution and federal statutes on day one, and we plan a vigorous offense to ensure the worst of the constitutional violations do not occur,” said Anthony D. Romero, the ACLU’s executive director.