2792256456 has 128 divisors (see below), whose sum is σ = 7930742400. Its totient is φ = 811776000.

The previous prime is 2792256449. The next prime is 2792256457. The reversal of 2792256456 is 6546522972.

It is a happy number.

It is a super-2 number, since 2×2792256456² = 15593392232147359872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2792256457) 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, 658150 + ... + 662378.

It is an arithmetic number, because the mean of its divisors is an integer number (61958925).

Almost surely, 2^2792256456 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 2792256456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965371200).

2792256456 is an abundant number, since it is smaller than the sum of its proper divisors (5138485944).

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

2792256456 is a wasteful number, since it uses less digits than its factorization.

2792256456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4347 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 2792256456 is about 52841.8059494563. The cubic root of 2792256456 is about 1408.1592356603.

The spelling of 2792256456 in words is "two billion, seven hundred ninety-two million, two hundred fifty-six thousand, four hundred fifty-six".