2396304000 has 480 divisors, whose sum is σ = 9111728340. Its totient is φ = 624153600.

The previous prime is 2396303963. The next prime is 2396304041. The reversal of 2396304000 is 4036932.

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.

2396304000 is a `hidden beast` number, since 23 + 9 + 630 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1619901504 + 776402496 = 40248^2 + 27864^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55727979 + ... + 55728021.

Almost surely, 2^2396304000 is an apocalyptic number.

2396304000 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 2396304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555864170).

2396304000 is an abundant number, since it is smaller than the sum of its proper divisors (6715424340).

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

2396304000 is an frugal number, since it uses more digits than its factorization.

2396304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2396304000 is about 48952.0581794065. The cubic root of 2396304000 is about 1338.1782625607.

The spelling of 2396304000 in words is "two billion, three hundred ninety-six million, three hundred four thousand".