2164492800 has 240 divisors, whose sum is σ = 7946009280. Its totient is φ = 577105920.

The previous prime is 2164492789. The next prime is 2164492817. The reversal of 2164492800 is 82944612.

2164492800 is a `hidden beast` number, since 2 + 1 + 644 + 9 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 342469 + ... + 348731.

It is an arithmetic number, because the mean of its divisors is an integer number (33108372).

Almost surely, 2^2164492800 is an apocalyptic number.

2164492800 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 2164492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973004640).

2164492800 is an abundant number, since it is smaller than the sum of its proper divisors (5781516480).

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

2164492800 is an equidigital number, since it uses as much as digits as its factorization.

2164492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2164492800 is about 46524.1098786425. The cubic root of 2164492800 is about 1293.5564381708.

The spelling of 2164492800 in words is "two billion, one hundred sixty-four million, four hundred ninety-two thousand, eight hundred".