2164444800 has 384 divisors, whose sum is σ = 8418508800. Its totient is φ = 478310400.

The previous prime is 2164444741. The next prime is 2164444801. The reversal of 2164444800 is 84444612.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164444801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082681 + ... + 2083719.

It is an arithmetic number, because the mean of its divisors is an integer number (21923200).

Almost surely, 2^2164444800 is an apocalyptic number.

2164444800 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 2164444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209254400).

2164444800 is an abundant number, since it is smaller than the sum of its proper divisors (6254064000).

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

2164444800 is a wasteful number, since it uses less digits than its factorization.

2164444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2164444800 is about 46523.5940142204. The cubic root of 2164444800 is about 1293.5468760896.

The spelling of 2164444800 in words is "two billion, one hundred sixty-four million, four hundred forty-four thousand, eight hundred".