2772956760 has 128 divisors (see below), whose sum is σ = 9709701120. Its totient is φ = 620324352.

The previous prime is 2772956741. The next prime is 2772956761. The reversal of 2772956760 is 676592772.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772956761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4362 + ... + 74598.

It is an arithmetic number, because the mean of its divisors is an integer number (75857040).

Almost surely, 2^2772956760 is an apocalyptic number.

2772956760 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 2772956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854850560).

2772956760 is an abundant number, since it is smaller than the sum of its proper divisors (6936744360).

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

2772956760 is a wasteful number, since it uses less digits than its factorization.

2772956760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70305 (or 70301 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 2772956760 is about 52658.8716172308. The cubic root of 2772956760 is about 1404.9073971295.

The spelling of 2772956760 in words is "two billion, seven hundred seventy-two million, nine hundred fifty-six thousand, seven hundred sixty".