2597786877952 has 144 divisors (see below), whose sum is σ = 5946007217472. Its totient is φ = 1111794647040.

The previous prime is 2597786877947. The next prime is 2597786877977.

2597786877952 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874379827 + ... + 874382797.

It is an arithmetic number, because the mean of its divisors is an integer number (41291716788).

Almost surely, 2^{2597786877952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2597786877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973003608736).

2597786877952 is an abundant number, since it is smaller than the sum of its proper divisors (3348220339520).

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

2597786877952 is an frugal number, since it uses more digits than its factorization.

2597786877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3933 counting only the distinct ones).

The product of its digits is 7468070400, while the sum is 82.

The spelling of 2597786877952 in words is "two trillion, five hundred ninety-seven billion, seven hundred eighty-six million, eight hundred seventy-seven thousand, nine hundred fifty-two".