2722406592 has 112 divisors (see below), whose sum is σ = 7535826432. Its totient is φ = 865751040.

The previous prime is 2722406591. The next prime is 2722406623. The reversal of 2722406592 is 2956042272.

It is a super-2 number, since 2×2722406592² = 14822995304330108928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2722406592.

It is not an unprimeable number, because it can be changed into a prime (2722406591) 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, 2786008 + ... + 2786984.

Almost surely, 2^2722406592 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 2722406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767913216).

2722406592 is an abundant number, since it is smaller than the sum of its proper divisors (4813419840).

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

2722406592 is a wasteful number, since it uses less digits than its factorization.

2722406592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2722406592 is about 52176.6862880348. The cubic root of 2722406592 is about 1396.3179764061.

The spelling of 2722406592 in words is "two billion, seven hundred twenty-two million, four hundred six thousand, five hundred ninety-two".