2591265600 has 1344 divisors, whose sum is σ = 12699187200. Its totient is φ = 497664000.

The previous prime is 2591265587. The next prime is 2591265601. The reversal of 2591265600 is 65621952.

2591265600 is a `hidden beast` number, since 2 + 5 + 91 + 2 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591265601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63201580 + ... + 63201620.

It is an arithmetic number, because the mean of its divisors is an integer number (9448800).

Almost surely, 2^2591265600 is an apocalyptic number.

2591265600 is a gapful number since it is divisible by the number (20) 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 2591265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

2591265600 is an abundant number, since it is smaller than the sum of its proper divisors (10107921600).

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

2591265600 is a wasteful number, since it uses less digits than its factorization.

2591265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2591265600 is about 50904.4752453063. The cubic root of 2591265600 is about 1373.5273445286.

The spelling of 2591265600 in words is "two billion, five hundred ninety-one million, two hundred sixty-five thousand, six hundred".