2654364800 has 96 divisors (see below), whose sum is σ = 6597702720. Its totient is φ = 1055175680.

The previous prime is 2654364781. The next prime is 2654364827. The reversal of 2654364800 is 84634562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531917 + ... + 536883.

It is an arithmetic number, because the mean of its divisors is an integer number (68726070).

Almost surely, 2^2654364800 is an apocalyptic number.

2654364800 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 2654364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298851360).

2654364800 is an abundant number, since it is smaller than the sum of its proper divisors (3943337920).

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

2654364800 is a wasteful number, since it uses less digits than its factorization.

2654364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 2654364800 is about 51520.5279476055. The cubic root of 2654364800 is about 1384.5868517071.

The spelling of 2654364800 in words is "two billion, six hundred fifty-four million, three hundred sixty-four thousand, eight hundred".