2251936716864 has 112 divisors (see below), whose sum is σ = 5994839928000. Its totient is φ = 746049816576.

The previous prime is 2251936716853. The next prime is 2251936716871. The reversal of 2251936716864 is 4686176391522.

It is a happy number.

It is a super-2 number, since 2×2251936716864² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2251936716798 and 2251936716807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20516722 + ... + 20626190.

It is an arithmetic number, because the mean of its divisors is an integer number (53525356500).

Almost surely, 2^{2251936716864} is an apocalyptic number.

2251936716864 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 2251936716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997419964000).

2251936716864 is an abundant number, since it is smaller than the sum of its proper divisors (3742903211136).

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

2251936716864 is a wasteful number, since it uses less digits than its factorization.

2251936716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110140 (or 110130 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 2251936716864 in words is "two trillion, two hundred fifty-one billion, nine hundred thirty-six million, seven hundred sixteen thousand, eight hundred sixty-four".