2772083456 has 72 divisors (see below), whose sum is σ = 5657628480. Its totient is φ = 1355268096.

The previous prime is 2772083443. The next prime is 2772083473. The reversal of 2772083456 is 6543802772.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284706 + ... + 2285918.

Almost surely, 2^2772083456 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 2772083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828814240).

2772083456 is an abundant number, since it is smaller than the sum of its proper divisors (2885545024).

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

2772083456 is a wasteful number, since it uses less digits than its factorization.

2772083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 2772083456 is about 52650.5788762099. The cubic root of 2772083456 is about 1404.7598963235.

The spelling of 2772083456 in words is "two billion, seven hundred seventy-two million, eighty-three thousand, four hundred fifty-six".