2563642800 has 180 divisors, whose sum is σ = 9103998904. Its totient is φ = 667699200.

The previous prime is 2563642799. The next prime is 2563642819. The reversal of 2563642800 is 82463652.

2563642800 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 642 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146520 + ... + 163080.

Almost surely, 2^2563642800 is an apocalyptic number.

2563642800 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 2563642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551999452).

2563642800 is an abundant number, since it is smaller than the sum of its proper divisors (6540356104).

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

2563642800 is a wasteful number, since it uses less digits than its factorization.

2563642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16628 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2563642800 is about 50632.4283438983. The cubic root of 2563642800 is about 1368.6293144358.

The spelling of 2563642800 in words is "two billion, five hundred sixty-three million, six hundred forty-two thousand, eight hundred".