2722707456 has 384 divisors, whose sum is σ = 8963136000. Its totient is φ = 718405632.

The previous prime is 2722707451. The next prime is 2722707469. The reversal of 2722707456 is 6547072272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722707451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46147555 + ... + 46147613.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^2722707456 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 2722707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2722707456 is an abundant number, since it is smaller than the sum of its proper divisors (6240428544).

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

2722707456 is a wasteful number, since it uses less digits than its factorization.

2722707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 2722707456 is about 52179.5693351335. The cubic root of 2722707456 is about 1396.3694120658.

The spelling of 2722707456 in words is "two billion, seven hundred twenty-two million, seven hundred seven thousand, four hundred fifty-six".