2166364800 has 576 divisors, whose sum is σ = 8434951200. Its totient is φ = 527523840.

The previous prime is 2166364769. The next prime is 2166364807. The reversal of 2166364800 is 84636612.

2166364800 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 3 + 648 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (2166364807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20246347 + ... + 20246453.

Almost surely, 2^2166364800 is an apocalyptic number.

2166364800 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 2166364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217475600).

2166364800 is an abundant number, since it is smaller than the sum of its proper divisors (6268586400).

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

2166364800 is a wasteful number, since it uses less digits than its factorization.

2166364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2166364800 is about 46544.2241314645. The cubic root of 2166364800 is about 1293.9292491259.

The spelling of 2166364800 in words is "two billion, one hundred sixty-six million, three hundred sixty-four thousand, eight hundred".