2772772772 has 48 divisors (see below), whose sum is σ = 6108490752. Its totient is φ = 1069800480.

The previous prime is 2772772763. The next prime is 2772772781.

It is a happy number.

2772772772 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2772772763) and next prime (2772772781).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2772772772.

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, 11978 + ... + 75425.

It is an arithmetic number, because the mean of its divisors is an integer number (127260224).

Almost surely, 2^2772772772 is an apocalyptic number.

2772772772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2772772772 is an abundant number, since it is smaller than the sum of its proper divisors (3335717980).

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

2772772772 is a wasteful number, since it uses less digits than its factorization.

2772772772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87528 (or 87526 counting only the distinct ones).

The product of its digits is 1882384, while the sum is 50.

The square root of 2772772772 is about 52657.1246081667. The cubic root of 2772772772 is about 1404.8763241821.

The spelling of 2772772772 in words is "two billion, seven hundred seventy-two million, seven hundred seventy-two thousand, seven hundred seventy-two".