2314781056224 has 432 divisors, whose sum is σ = 8412980835168. Its totient is φ = 610486668288.

The previous prime is 2314781056141. The next prime is 2314781056249. The reversal of 2314781056224 is 4226501874132.

2314781056224 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 7 + 8 + 10 + 5 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2314781056224² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2314781056224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19045054 + ... + 19166210.

It is an arithmetic number, because the mean of its divisors is an integer number (19474492674).

Almost surely, 2^{2314781056224} is an apocalyptic number.

2314781056224 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 2314781056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206490417584).

2314781056224 is an abundant number, since it is smaller than the sum of its proper divisors (6098199778944).

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

2314781056224 is an equidigital number, since it uses as much as digits as its factorization.

2314781056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121211 (or 121182 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2314781056224 in words is "two trillion, three hundred fourteen billion, seven hundred eighty-one million, fifty-six thousand, two hundred twenty-four".