2006577102200 has 48 divisors (see below), whose sum is σ = 5089409201160. Its totient is φ = 729664400000.

The previous prime is 2006577102181. The next prime is 2006577102209. The reversal of 2006577102200 is 22017756002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006577102209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456038051 + ... + 456042450.

Almost surely, 2^{2006577102200} is an apocalyptic number.

2006577102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006577102200 is an abundant number, since it is smaller than the sum of its proper divisors (3082832098960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006577102200 is a wasteful number, since it uses less digits than its factorization.

2006577102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912080528 (or 912080519 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 2006577102200 in words is "two trillion, six billion, five hundred seventy-seven million, one hundred two thousand, two hundred".