2595962880 has 360 divisors, whose sum is σ = 10305090432. Its totient is φ = 592183296.

The previous prime is 2595962833. The next prime is 2595962959. The reversal of 2595962880 is 882695952.

2595962880 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 9 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160709 + ... + 5161211.

Almost surely, 2^2595962880 is an apocalyptic number.

2595962880 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 2595962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216).

2595962880 is an abundant number, since it is smaller than the sum of its proper divisors (7709127552).

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

2595962880 is an equidigital number, since it uses as much as digits as its factorization.

2595962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2595962880 is about 50950.5925382620. The cubic root of 2595962880 is about 1374.3567909518.

The spelling of 2595962880 in words is "two billion, five hundred ninety-five million, nine hundred sixty-two thousand, eight hundred eighty".