2325304800 has 864 divisors, whose sum is σ = 10597759200. Its totient is φ = 490613760.

The previous prime is 2325304789. The next prime is 2325304859. The reversal of 2325304800 is 84035232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178869594 + ... + 178869606.

It is an arithmetic number, because the mean of its divisors is an integer number (12265925).

Almost surely, 2^2325304800 is an apocalyptic number.

2325304800 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 2325304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298879600).

2325304800 is an abundant number, since it is smaller than the sum of its proper divisors (8272454400).

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

2325304800 is a wasteful number, since it uses less digits than its factorization.

2325304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2325304800 is about 48221.4143301500. The cubic root of 2325304800 is about 1324.8294167486.

The spelling of 2325304800 in words is "two billion, three hundred twenty-five million, three hundred four thousand, eight hundred".