2563668800 has 168 divisors, whose sum is σ = 7865181120. Its totient is φ = 799027200.

The previous prime is 2563668791. The next prime is 2563668827. The reversal of 2563668800 is 88663652.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112796 + ... + 133604.

Almost surely, 2^2563668800 is an apocalyptic number.

2563668800 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 2563668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932590560).

2563668800 is an abundant number, since it is smaller than the sum of its proper divisors (5301512320).

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

2563668800 is a wasteful number, since it uses less digits than its factorization.

2563668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20849 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 2563668800 is about 50632.6850956968. The cubic root of 2563668800 is about 1368.6339412169.

The spelling of 2563668800 in words is "two billion, five hundred sixty-three million, six hundred sixty-eight thousand, eight hundred".