2772065160 has 128 divisors (see below), whose sum is σ = 9490089600. Its totient is φ = 719228160.

The previous prime is 2772065147. The next prime is 2772065213. The reversal of 2772065160 is 615602772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5275 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (74141325).

Almost surely, 2^2772065160 is an apocalyptic number.

2772065160 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 2772065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745044800).

2772065160 is an abundant number, since it is smaller than the sum of its proper divisors (6718024440).

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

2772065160 is a wasteful number, since it uses less digits than its factorization.

2772065160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69428 (or 69418 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2772065160 is about 52650.4051266465. The cubic root of 2772065160 is about 1404.7568058028.

It can be divided in two parts, 2772065 and 160, that added together give a square (2772225 = 1665²).

The spelling of 2772065160 in words is "two billion, seven hundred seventy-two million, sixty-five thousand, one hundred sixty".