Infinity, however, is a concept and not a number. You can not half it.
Thats what math class told me too.
As for the black hole questions K_A presented, how can you measure a concept? Im going to assume that you cant, because density and mass of an "infinite" object cannot be measured with our understanding of mathmatics. Maybe someday in the future, we will be able to calculate infinity and put different limits on it to actually make it a number instead of a concept.