2772845560 has 64 divisors (see below), whose sum is σ = 6617635200. Its totient is φ = 1042704000.

The previous prime is 2772845519. The next prime is 2772845563. The reversal of 2772845560 is 655482772.

It is a super-2 number, since 2×2772845560² = 15377344999223427200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2772845560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772845563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85635 + ... + 113485.

It is an arithmetic number, because the mean of its divisors is an integer number (103400550).

Almost surely, 2^2772845560 is an apocalyptic number.

2772845560 is a gapful number since it is divisible by the number (20) 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 2772845560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308817600).

2772845560 is an abundant number, since it is smaller than the sum of its proper divisors (3844789640).

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

2772845560 is a wasteful number, since it uses less digits than its factorization.

2772845560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28012 (or 28008 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The square root of 2772845560 is about 52657.8157541689. The cubic root of 2772845560 is about 1404.8886172008. Note that the first 3 decimals are identical.

The spelling of 2772845560 in words is "two billion, seven hundred seventy-two million, eight hundred forty-five thousand, five hundred sixty".