2304806400 has 840 divisors, whose sum is σ = 9705446520. Its totient is φ = 537477120.

The previous prime is 2304806393. The next prime is 2304806411. The reversal of 2304806400 is 46084032.

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 83 ways as a sum of consecutive naturals, for example, 121305591 + ... + 121305609.

It is an arithmetic number, because the mean of its divisors is an integer number (11554103).

Almost surely, 2^2304806400 is an apocalyptic number.

2304806400 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 2304806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852723260).

2304806400 is an abundant number, since it is smaller than the sum of its proper divisors (7400640120).

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

2304806400 is an equidigital number, since it uses as much as digits as its factorization.

2304806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2304806400 is about 48008.3992651286. The cubic root of 2304806400 is about 1320.9249715225.

The spelling of 2304806400 in words is "two billion, three hundred four million, eight hundred six thousand, four hundred".