2199933933120 has 4032 divisors, whose sum is σ = 11067956121600. Its totient is φ = 405426954240.

The previous prime is 2199933933049. The next prime is 2199933933133. The reversal of 2199933933120 is 213393399912.

2199933933120 is a `hidden beast` number, since 2 + 199 + 93 + 39 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 46807104937 + ... + 46807104983.

It is an arithmetic number, because the mean of its divisors is an integer number (2745028800).

Almost surely, 2^{2199933933120} is an apocalyptic number.

2199933933120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199933933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533978060800).

2199933933120 is an abundant number, since it is smaller than the sum of its proper divisors (8868022188480).

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

2199933933120 is a wasteful number, since it uses less digits than its factorization.

2199933933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 2199933933120 in words is "two trillion, one hundred ninety-nine billion, nine hundred thirty-three million, nine hundred thirty-three thousand, one hundred twenty".