2597562657952 has 48 divisors (see below), whose sum is σ = 5201591472000. Its totient is φ = 1276531706880.

The previous prime is 2597562657931. The next prime is 2597562657983.

2597562657952 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10299049 + ... + 10548247.

It is an arithmetic number, because the mean of its divisors is an integer number (108366489000).

Almost surely, 2^{2597562657952} is an apocalyptic number.

It is an amenable number.

2597562657952 is an abundant number, since it is smaller than the sum of its proper divisors (2604028814048).

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

2597562657952 is a wasteful number, since it uses less digits than its factorization.

2597562657952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254789 (or 254781 counting only the distinct ones).

The product of its digits is 714420000, while the sum is 70.

The spelling of 2597562657952 in words is "two trillion, five hundred ninety-seven billion, five hundred sixty-two million, six hundred fifty-seven thousand, nine hundred fifty-two".