2595922560 has 512 divisors, whose sum is σ = 11468390400. Its totient is φ = 539136000.

The previous prime is 2595922543. The next prime is 2595922561. The reversal of 2595922560 is 652295952.

2595922560 is a `hidden beast` number, since 2 + 5 + 9 + 592 + 2 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2595922561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329585 + ... + 1331535.

It is an arithmetic number, because the mean of its divisors is an integer number (22399200).

Almost surely, 2^2595922560 is an apocalyptic number.

2595922560 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 2595922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734195200).

2595922560 is an abundant number, since it is smaller than the sum of its proper divisors (8872467840).

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

2595922560 is a wasteful number, since it uses less digits than its factorization.

2595922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2595922560 is about 50950.1968592860. The cubic root of 2595922560 is about 1374.3496754992.

The spelling of 2595922560 in words is "two billion, five hundred ninety-five million, nine hundred twenty-two thousand, five hundred sixty".