2564367400 has 96 divisors (see below), whose sum is σ = 6846972480. Its totient is φ = 874944000.

The previous prime is 2564367383. The next prime is 2564367401. The reversal of 2564367400 is 47634652.

It is a self number, because there is not a number n which added to its sum of digits gives 2564367400.

It is not an unprimeable number, because it can be changed into a prime (2564367401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291060 + ... + 299740.

It is an arithmetic number, because the mean of its divisors is an integer number (71322630).

Almost surely, 2^2564367400 is an apocalyptic number.

2564367400 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 2564367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423486240).

2564367400 is an abundant number, since it is smaller than the sum of its proper divisors (4282605080).

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

2564367400 is a wasteful number, since it uses less digits than its factorization.

2564367400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 2564367400 is about 50639.5833316191. The cubic root of 2564367400 is about 1368.7582475543.

The spelling of 2564367400 in words is "two billion, five hundred sixty-four million, three hundred sixty-seven thousand, four hundred".