2560636800 has 576 divisors, whose sum is σ = 9840776400. Its totient is φ = 656916480.

The previous prime is 2560636789. The next prime is 2560636801. The reversal of 2560636800 is 86360652.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560636801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28771156 + ... + 28771244.

Almost surely, 2^2560636800 is an apocalyptic number.

2560636800 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 2560636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920388200).

2560636800 is an abundant number, since it is smaller than the sum of its proper divisors (7280139600).

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

2560636800 is an equidigital number, since it uses as much as digits as its factorization.

2560636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2560636800 is about 50602.7351039447. The cubic root of 2560636800 is about 1368.0941763420.

The spelling of 2560636800 in words is "two billion, five hundred sixty million, six hundred thirty-six thousand, eight hundred".