2560964592 has 80 divisors (see below), whose sum is σ = 7069502880. Its totient is φ = 796041216.

The previous prime is 2560964563. The next prime is 2560964597. The reversal of 2560964592 is 2954690652.

2560964592 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560964597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74548 + ... + 103340.

It is an arithmetic number, because the mean of its divisors is an integer number (88368786).

Almost surely, 2^2560964592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560964592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534751440).

2560964592 is an abundant number, since it is smaller than the sum of its proper divisors (4508538288).

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

2560964592 is a wasteful number, since it uses less digits than its factorization.

2560964592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28930 (or 28924 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 2560964592 is about 50605.9738766087. The cubic root of 2560964592 is about 1368.1525512994.

The spelling of 2560964592 in words is "two billion, five hundred sixty million, nine hundred sixty-four thousand, five hundred ninety-two".