2526244560 has 960 divisors, whose sum is σ = 11290705920. Its totient is φ = 492687360.

The previous prime is 2526244559. The next prime is 2526244577. The reversal of 2526244560 is 654426252.

2526244560 is a `hidden beast` number, since 2 + 52 + 6 + 2 + 44 + 560 = 666.

2526244560 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68276862 + ... + 68276898.

It is an arithmetic number, because the mean of its divisors is an integer number (11761152).

Almost surely, 2^2526244560 is an apocalyptic number.

2526244560 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 2526244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645352960).

2526244560 is an abundant number, since it is smaller than the sum of its proper divisors (8764461360).

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

2526244560 is a wasteful number, since it uses less digits than its factorization.

2526244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2526244560 is about 50261.7604148522. The cubic root of 2526244560 is about 1361.9415320305.

The spelling of 2526244560 in words is "two billion, five hundred twenty-six million, two hundred forty-four thousand, five hundred sixty".