2591527872 has 112 divisors (see below), whose sum is σ = 7306129152. Its totient is φ = 807874560.

The previous prime is 2591527867. The next prime is 2591527891. The reversal of 2591527872 is 2787251952.

2591527872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2591527872² = 13432033422705696768, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529597 + ... + 534467.

It is an arithmetic number, because the mean of its divisors is an integer number (65233296).

Almost surely, 2^2591527872 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 2591527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653064576).

2591527872 is an abundant number, since it is smaller than the sum of its proper divisors (4714601280).

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

2591527872 is a wasteful number, since it uses less digits than its factorization.

2591527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5056 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 2591527872 is about 50907.0512994025. The cubic root of 2591527872 is about 1373.5736829678.

The spelling of 2591527872 in words is "two billion, five hundred ninety-one million, five hundred twenty-seven thousand, eight hundred seventy-two".