2591979264 has 270 divisors, whose sum is σ = 8994184584. Its totient is φ = 740275200.

The previous prime is 2591979217. The next prime is 2591979277. The reversal of 2591979264 is 4629791952.

2591979264 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 Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2591979264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014789 + ... + 1017339.

Almost surely, 2^2591979264 is an apocalyptic number.

2591979264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2591979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497092292).

2591979264 is an abundant number, since it is smaller than the sum of its proper divisors (6402205320).

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

2591979264 is an equidigital number, since it uses as much as digits as its factorization.

2591979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2563 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 2591979264 is about 50911.4845982711. The cubic root of 2591979264 is about 1373.6534279687.

The spelling of 2591979264 in words is "two billion, five hundred ninety-one million, nine hundred seventy-nine thousand, two hundred sixty-four".