2303313264 has 120 divisors (see below), whose sum is σ = 7423608192. Its totient is φ = 653028480.

The previous prime is 2303313251. The next prime is 2303313317. The reversal of 2303313264 is 4623133032.

It is a happy number.

2303313264 is a `hidden beast` number, since 2 + 3 + 0 + 331 + 326 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 123327 + ... + 140769.

Almost surely, 2^2303313264 is an apocalyptic number.

2303313264 is a gapful number since it is divisible by the number (24) 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 2303313264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711804096).

2303313264 is an abundant number, since it is smaller than the sum of its proper divisors (5120294928).

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

2303313264 is a wasteful number, since it uses less digits than its factorization.

2303313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2303313264 is about 47992.8459668730. The cubic root of 2303313264 is about 1320.6396624259.

Adding to 2303313264 its reverse (4623133032), we get a palindrome (6926446296).

The spelling of 2303313264 in words is "two billion, three hundred three million, three hundred thirteen thousand, two hundred sixty-four".