2595622560 has 288 divisors, whose sum is σ = 8972462016. Its totient is φ = 628531200.

The previous prime is 2595622541. The next prime is 2595622567. The reversal of 2595622560 is 652265952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2595622567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7841595 + ... + 7841925.

It is an arithmetic number, because the mean of its divisors is an integer number (31154382).

Almost surely, 2^2595622560 is an apocalyptic number.

2595622560 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 2595622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486231008).

2595622560 is an abundant number, since it is smaller than the sum of its proper divisors (6376839456).

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

2595622560 is a wasteful number, since it uses less digits than its factorization.

2595622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 2595622560 is about 50947.2527227916. The cubic root of 2595622560 is about 1374.2967308296.

It can be divided in two parts, 25956 and 22560, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 2595622560 in words is "two billion, five hundred ninety-five million, six hundred twenty-two thousand, five hundred sixty".