2323468800 has 480 divisors, whose sum is σ = 8737565760. Its totient is φ = 612126720.

The previous prime is 2323468783. The next prime is 2323468859. The reversal of 2323468800 is 88643232.

2323468800 is a `hidden beast` number, since 232 + 346 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993559 + ... + 27993641.

It is an arithmetic number, because the mean of its divisors is an integer number (18203262).

Almost surely, 2^2323468800 is an apocalyptic number.

2323468800 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 2323468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368782880).

2323468800 is an abundant number, since it is smaller than the sum of its proper divisors (6414096960).

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

2323468800 is an frugal number, since it uses more digits than its factorization.

2323468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2323468800 is about 48202.3733855502. The cubic root of 2323468800 is about 1324.4806413575.

The spelling of 2323468800 in words is "two billion, three hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".