2791267635360 has 96 divisors (see below), whose sum is σ = 8818584046272. Its totient is φ = 742129274880.

The previous prime is 2791267635349. The next prime is 2791267635379. The reversal of 2791267635360 is 635367621972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2791267635360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8466046 + ... + 8789565.

It is an arithmetic number, because the mean of its divisors is an integer number (91860250482).

Almost surely, 2^{2791267635360} is an apocalyptic number.

2791267635360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2791267635360 is an abundant number, since it is smaller than the sum of its proper divisors (6027316410912).

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

2791267635360 is a wasteful number, since it uses less digits than its factorization.

2791267635360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255966 (or 17255958 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 2791267635360 in words is "two trillion, seven hundred ninety-one billion, two hundred sixty-seven million, six hundred thirty-five thousand, three hundred sixty".