2597887952 has 40 divisors (see below), whose sum is σ = 5494148352. Its totient is φ = 1180179200.

The previous prime is 2597887933. The next prime is 2597887991.

It is a happy number.

2597887952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2597887952² = 13498043622293508608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426593 + ... + 432639.

Almost surely, 2^2597887952 is an apocalyptic number.

2597887952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2597887952 is an abundant number, since it is smaller than the sum of its proper divisors (2896260400).

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

2597887952 is a wasteful number, since it uses less digits than its factorization.

2597887952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8501 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 62.

The square root of 2597887952 is about 50969.4805937828. The cubic root of 2597887952 is about 1374.6964314082.

The spelling of 2597887952 in words is "two billion, five hundred ninety-seven million, eight hundred eighty-seven thousand, nine hundred fifty-two".