2278201264416 has 480 divisors, whose sum is σ = 8531171776512. Its totient is φ = 579147978240.

The previous prime is 2278201264349. The next prime is 2278201264421. The reversal of 2278201264416 is 6144621028722.

2278201264416 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 201 + 26 + 4 + 416 = 666.

It is a super-2 number, since 2×2278201264416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9259015 + ... + 9501881.

Almost surely, 2^{2278201264416} 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 2278201264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265585888256).

2278201264416 is an abundant number, since it is smaller than the sum of its proper divisors (6252970512096).

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

2278201264416 is a wasteful number, since it uses less digits than its factorization.

2278201264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242954 (or 242937 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2278201264416 in words is "two trillion, two hundred seventy-eight billion, two hundred one million, two hundred sixty-four thousand, four hundred sixteen".