2772416635120 has 40 divisors (see below), whose sum is σ = 7031856740400. Its totient is φ = 1008151503360.

The previous prime is 2772416635097. The next prime is 2772416635127. The reversal of 2772416635120 is 215366142772.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772416635127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575235845 + ... + 1575237604.

It is an arithmetic number, because the mean of its divisors is an integer number (175796418510).

Almost surely, 2^{2772416635120} is an apocalyptic number.

2772416635120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772416635120 is an abundant number, since it is smaller than the sum of its proper divisors (4259440105280).

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

2772416635120 is a wasteful number, since it uses less digits than its factorization.

2772416635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150473473 (or 3150473467 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 2772416635120 in words is "two trillion, seven hundred seventy-two billion, four hundred sixteen million, six hundred thirty-five thousand, one hundred twenty".