Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest number of total championships of the university with 2 men's and more than 2 women's?

### Inputs:
table_name: table, columns: ['University', "Men's", "Women's", 'Runner-up', 'Total Championships']

### Response:
SELECT MIN Total Championships FROM table WHERE Men's = 2 AND Women's > 2