2303313408 has 480 divisors, whose sum is σ = 8032923360. Its totient is φ = 656916480.

The previous prime is 2303313319. The next prime is 2303313433. The reversal of 2303313408 is 8043133032.

2303313408 is a `hidden beast` number, since 2 + 303 + 313 + 40 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135489016 + ... + 135489032.

It is an arithmetic number, because the mean of its divisors is an integer number (16735257).

Almost surely, 2^2303313408 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 2303313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016461680).

2303313408 is an abundant number, since it is smaller than the sum of its proper divisors (5729609952).

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

2303313408 is an frugal number, since it uses more digits than its factorization.

2303313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2303313408 is about 47992.8474670966. The cubic root of 2303313408 is about 1320.6396899475.

The spelling of 2303313408 in words is "two billion, three hundred three million, three hundred thirteen thousand, four hundred eight".