2304645120 has 288 divisors, whose sum is σ = 8463087360. Its totient is φ = 578027520.

The previous prime is 2304645053. The next prime is 2304645127. The reversal of 2304645120 is 215464032.

2304645120 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 645 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2304645120² = 10622778258279628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304645127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565985 + ... + 1567455.

It is an arithmetic number, because the mean of its divisors is an integer number (29385720).

Almost surely, 2^2304645120 is an apocalyptic number.

2304645120 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 2304645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231543680).

2304645120 is an abundant number, since it is smaller than the sum of its proper divisors (6158442240).

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

2304645120 is a wasteful number, since it uses less digits than its factorization.

2304645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1498 counting only the distinct ones).

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

The square root of 2304645120 is about 48006.7195296658. The cubic root of 2304645120 is about 1320.8941600049.

The spelling of 2304645120 in words is "two billion, three hundred four million, six hundred forty-five thousand, one hundred twenty".