2317012416 has 252 divisors, whose sum is σ = 7298740800. Its totient is φ = 701890560.

The previous prime is 2317012351. The next prime is 2317012421. The reversal of 2317012416 is 6142107132.

2317012416 is a `hidden beast` number, since 231 + 7 + 0 + 12 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2317012416.

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 35 ways as a sum of consecutive naturals, for example, 5160160 + ... + 5160608.

Almost surely, 2^2317012416 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 2317012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649370400).

2317012416 is an abundant number, since it is smaller than the sum of its proper divisors (4981728384).

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

2317012416 is a wasteful number, since it uses less digits than its factorization.

2317012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2317012416 is about 48135.3551560597. The cubic root of 2317012416 is about 1323.2526945021.

Adding to 2317012416 its reverse (6142107132), we get a palindrome (8459119548).

The spelling of 2317012416 in words is "two billion, three hundred seventeen million, twelve thousand, four hundred sixteen".