2563566400 has 84 divisors (see below), whose sum is σ = 6343924320. Its totient is φ = 1019584000.

The previous prime is 2563566373. The next prime is 2563566403. The reversal of 2563566400 is 46653652.

It is a self number, because there is not a number n which added to its sum of digits gives 2563566400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563566403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281925 + ... + 290875.

Almost surely, 2^2563566400 is an apocalyptic number.

2563566400 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 2563566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171962160).

2563566400 is an abundant number, since it is smaller than the sum of its proper divisors (3780357920).

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

2563566400 is a wasteful number, since it uses less digits than its factorization.

2563566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 2563566400 is about 50631.6738810796. The cubic root of 2563566400 is about 1368.6157186366.

The spelling of 2563566400 in words is "two billion, five hundred sixty-three million, five hundred sixty-six thousand, four hundred".