2306304000 has 1152 divisors, whose sum is σ = 11161463040. Its totient is φ = 442368000.

The previous prime is 2306303947. The next prime is 2306304023. The reversal of 2306304000 is 4036032.

2306304000 is a `hidden beast` number, since 2 + 30 + 630 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177407994 + ... + 177408006.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^2306304000 is an apocalyptic number.

2306304000 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 2306304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580731520).

2306304000 is an abundant number, since it is smaller than the sum of its proper divisors (8855159040).

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

2306304000 is a wasteful number, since it uses less digits than its factorization.

2306304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2306304000 is about 48023.9940029981. The cubic root of 2306304000 is about 1321.2110098535.

The spelling of 2306304000 in words is "two billion, three hundred six million, three hundred four thousand".