2591512587120 has 80 divisors (see below), whose sum is σ = 8041912561440. Its totient is φ = 690362621952.

The previous prime is 2591512587109. The next prime is 2591512587187. The reversal of 2591512587120 is 217852151952.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2591512587120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5291605 + ... + 5760564.

It is an arithmetic number, because the mean of its divisors is an integer number (100523907018).

Almost surely, 2^{2591512587120} is an apocalyptic number.

2591512587120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2591512587120 is an abundant number, since it is smaller than the sum of its proper divisors (5450399974320).

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

2591512587120 is a wasteful number, since it uses less digits than its factorization.

2591512587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053162 (or 11053156 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 2591512587120 in words is "two trillion, five hundred ninety-one billion, five hundred twelve million, five hundred eighty-seven thousand, one hundred twenty".