2772106456 has 64 divisors (see below), whose sum is σ = 6090163200. Its totient is φ = 1158167808.

The previous prime is 2772106451. The next prime is 2772106457. The reversal of 2772106456 is 6546012772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772106451) 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, 1947361 + ... + 1948783.

It is an arithmetic number, because the mean of its divisors is an integer number (95158800).

Almost surely, 2^2772106456 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 2772106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045081600).

2772106456 is an abundant number, since it is smaller than the sum of its proper divisors (3318056744).

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

2772106456 is a wasteful number, since it uses less digits than its factorization.

2772106456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 2772106456 is about 52650.7972969071. The cubic root of 2772106456 is about 1404.7637814144.

The spelling of 2772106456 in words is "two billion, seven hundred seventy-two million, one hundred six thousand, four hundred fifty-six".