2772242846568 has 384 divisors, whose sum is σ = 8586236131200. Its totient is φ = 832773021696.

The previous prime is 2772242846561. The next prime is 2772242846603. The reversal of 2772242846568 is 8656482422772.

2772242846568 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 2 + 4 + 28 + 46 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (2772242846561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191327068 + ... + 191341556.

It is an arithmetic number, because the mean of its divisors is an integer number (22359989925).

Almost surely, 2^{2772242846568} 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 2772242846568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293118065600).

2772242846568 is an abundant number, since it is smaller than the sum of its proper divisors (5813993284632).

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

2772242846568 is a wasteful number, since it uses less digits than its factorization.

2772242846568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14687 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 2772242846568 in words is "two trillion, seven hundred seventy-two billion, two hundred forty-two million, eight hundred forty-six thousand, five hundred sixty-eight".