2166544800 has 864 divisors, whose sum is σ = 9618134400. Its totient is φ = 468357120.

The previous prime is 2166544769. The next prime is 2166544813. The reversal of 2166544800 is 84456612.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 24343156 + ... + 24343244.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^2166544800 is an apocalyptic number.

2166544800 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 2166544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809067200).

2166544800 is an abundant number, since it is smaller than the sum of its proper divisors (7451589600).

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

2166544800 is a wasteful number, since it uses less digits than its factorization.

2166544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2166544800 is about 46546.1577361655. The cubic root of 2166544800 is about 1293.9650850132.

The spelling of 2166544800 in words is "two billion, one hundred sixty-six million, five hundred forty-four thousand, eight hundred".