2304489600 has 864 divisors, whose sum is σ = 10121941440. Its totient is φ = 496742400.

The previous prime is 2304489581. The next prime is 2304489601. The reversal of 2304489600 is 69844032.

It is a happy number.

2304489600 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 48 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2304489601) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 32457565 + ... + 32457635.

It is an arithmetic number, because the mean of its divisors is an integer number (11715210).

Almost surely, 2^2304489600 is an apocalyptic number.

2304489600 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 2304489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060970720).

2304489600 is an abundant number, since it is smaller than the sum of its proper divisors (7817451840).

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

2304489600 is a wasteful number, since it uses less digits than its factorization.

2304489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2304489600 is about 48005.0997290913. The cubic root of 2304489600 is about 1320.8644475372.

The spelling of 2304489600 in words is "two billion, three hundred four million, four hundred eighty-nine thousand, six hundred".