2279944168416 has 384 divisors, whose sum is σ = 7151972889600. Its totient is φ = 704037519360.

The previous prime is 2279944168351. The next prime is 2279944168427. The reversal of 2279944168416 is 6148614499722.

2279944168416 is a `hidden beast` number, since 2 + 2 + 7 + 99 + 441 + 68 + 41 + 6 = 666.

It is a super-2 number, since 2×2279944168416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801948691 + ... + 801951533.

It is an arithmetic number, because the mean of its divisors is an integer number (18624929400).

Almost surely, 2^{2279944168416} 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 2279944168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575986444800).

2279944168416 is an abundant number, since it is smaller than the sum of its proper divisors (4872028721184).

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

2279944168416 is a wasteful number, since it uses less digits than its factorization.

2279944168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3705 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 2279944168416 in words is "two trillion, two hundred seventy-nine billion, nine hundred forty-four million, one hundred sixty-eight thousand, four hundred sixteen".