2314816056 has 288 divisors, whose sum is σ = 7967232000. Its totient is φ = 626076864.

The previous prime is 2314816039. The next prime is 2314816069. The reversal of 2314816056 is 6506184132.

It is a happy number.

2314816056 is a `hidden beast` number, since 2 + 3 + 1 + 48 + 1 + 605 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2314816056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1809225 + ... + 1810503.

It is an arithmetic number, because the mean of its divisors is an integer number (27664000).

Almost surely, 2^2314816056 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 2314816056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616000).

2314816056 is an abundant number, since it is smaller than the sum of its proper divisors (5652415944).

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

2314816056 is a wasteful number, since it uses less digits than its factorization.

2314816056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2314816056 is about 48112.5353312419. The cubic root of 2314816056 is about 1322.8344464045.

It can be divided in two parts, 23148 and 16056, that added together give a square (39204 = 198²).

The spelling of 2314816056 in words is "two billion, three hundred fourteen million, eight hundred sixteen thousand, fifty-six".