2595337666560 has 864 divisors, whose sum is σ = 9572539616640. Its totient is φ = 674211299328.

The previous prime is 2595337666547. The next prime is 2595337666573. The reversal of 2595337666560 is 656667335952.

It is an interprime number because it is at equal distance from previous prime (2595337666547) and next prime (2595337666573).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6847856451 + ... + 6847856829.

It is an arithmetic number, because the mean of its divisors is an integer number (11079328260).

Almost surely, 2^{2595337666560} is an apocalyptic number.

2595337666560 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 2595337666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786269808320).

2595337666560 is an abundant number, since it is smaller than the sum of its proper divisors (6977201950080).

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

2595337666560 is an frugal number, since it uses more digits than its factorization.

2595337666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 183708000, while the sum is 63.

The spelling of 2595337666560 in words is "two trillion, five hundred ninety-five billion, three hundred thirty-seven million, six hundred sixty-six thousand, five hundred sixty".