2564025640 has 64 divisors (see below), whose sum is σ = 6304029120. Its totient is φ = 930816000.

The previous prime is 2564025619. The next prime is 2564025677. The reversal of 2564025640 is 465204652.

2564025640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2564025596 and 2564025605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277495 + ... + 286585.

It is an arithmetic number, because the mean of its divisors is an integer number (98500455).

Almost surely, 2^2564025640 is an apocalyptic number.

2564025640 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 2564025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152014560).

2564025640 is an abundant number, since it is smaller than the sum of its proper divisors (3740003480).

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

2564025640 is a wasteful number, since it uses less digits than its factorization.

2564025640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2564025640 is about 50636.2087838337. The cubic root of 2564025640 is about 1368.6974388468.

The spelling of 2564025640 in words is "two billion, five hundred sixty-four million, twenty-five thousand, six hundred forty".