2313916416 has 416 divisors, whose sum is σ = 8125472000. Its totient is φ = 650280960.

The previous prime is 2313916411. The next prime is 2313916439. The reversal of 2313916416 is 6146193132.

2313916416 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 9 + 1 + 641 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2313916411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37933026 + ... + 37933086.

Almost surely, 2^2313916416 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 2313916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062736000).

2313916416 is an abundant number, since it is smaller than the sum of its proper divisors (5811555584).

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

2313916416 is an frugal number, since it uses more digits than its factorization.

2313916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2313916416 is about 48103.1850920498. The cubic root of 2313916416 is about 1322.6630535223.

The spelling of 2313916416 in words is "two billion, three hundred thirteen million, nine hundred sixteen thousand, four hundred sixteen".