2591551952 has 40 divisors (see below), whose sum is σ = 5481003360. Its totient is φ = 1177246080.

The previous prime is 2591551951. The next prime is 2591551957.

2591551952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2591551952² = 13432283039830020608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591551951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363074 + ... + 370142.

It is an arithmetic number, because the mean of its divisors is an integer number (137025084).

Almost surely, 2^2591551952 is an apocalyptic number.

2591551952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2591551952 is an abundant number, since it is smaller than the sum of its proper divisors (2889451408).

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

2591551952 is a wasteful number, since it uses less digits than its factorization.

2591551952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9165 counting only the distinct ones).

The product of its digits is 202500, while the sum is 44.

The square root of 2591551952 is about 50907.2878083286. The cubic root of 2591551952 is about 1373.5779372859.

The spelling of 2591551952 in words is "two billion, five hundred ninety-one million, five hundred fifty-one thousand, nine hundred fifty-two".