2304038016 has 336 divisors, whose sum is σ = 8190125190. Its totient is φ = 619573248.

The previous prime is 2304037987. The next prime is 2304038027. The reversal of 2304038016 is 6108304032.

It is a happy number.

2304038016 is a `hidden beast` number, since 230 + 40 + 380 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1694145600 + 609892416 = 41160^2 + 24696^2 .

It is a tau number, because it is divible by the number of its divisors (336).

2304038016 is a modest number, since divided by 38016 gives 2304 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 135531640 + ... + 135531656.

Almost surely, 2^2304038016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095062595).

2304038016 is an abundant number, since it is smaller than the sum of its proper divisors (5886087174).

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

2304038016 is an frugal number, since it uses more digits than its factorization.

2304038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2304038016 is about 48000.3959983665. The cubic root of 2304038016 is about 1320.7781637578.

The spelling of 2304038016 in words is "two billion, three hundred four million, thirty-eight thousand, sixteen".