2722406128 has 60 divisors (see below), whose sum is σ = 5866199688. Its totient is φ = 1222490880.

The previous prime is 2722406119. The next prime is 2722406173. The reversal of 2722406128 is 8216042272.

It is a super-2 number, since 2×2722406128² = 14822990251543904768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2722406093 and 2722406102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86443 + ... + 113653.

Almost surely, 2^2722406128 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 2722406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933099844).

2722406128 is an abundant number, since it is smaller than the sum of its proper divisors (3143793560).

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

2722406128 is a wasteful number, since it uses less digits than its factorization.

2722406128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27282 (or 27263 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2722406128 is about 52176.6818416043. The cubic root of 2722406128 is about 1396.3178970778.

The spelling of 2722406128 in words is "two billion, seven hundred twenty-two million, four hundred six thousand, one hundred twenty-eight".