2318304000 has 576 divisors, whose sum is σ = 8571064320. Its totient is φ = 552960000.

The previous prime is 2318303989. The next prime is 2318304013. The reversal of 2318304000 is 4038132.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56543980 + ... + 56544020.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^2318304000 is an apocalyptic number.

2318304000 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 2318304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285532160).

2318304000 is an abundant number, since it is smaller than the sum of its proper divisors (6252760320).

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

2318304000 is a wasteful number, since it uses less digits than its factorization.

2318304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2318304000 is about 48148.7694546808. The cubic root of 2318304000 is about 1323.4985246532.

The spelling of 2318304000 in words is "two billion, three hundred eighteen million, three hundred four thousand".