2722656 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 893568.

The previous prime is 2722639. The next prime is 2722661. The reversal of 2722656 is 6562272.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2⁶ + 7 + 2¹⁶ + 2²¹ + 6⁷ + 5² + 6⁷ .

It is a zygodrome in base 5.

It is a congruent number.

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, 7405 + ... + 7763.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2722656 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 2722656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2722656 is an abundant number, since it is smaller than the sum of its proper divisors (4534944).

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

2722656 is a wasteful number, since it uses less digits than its factorization.

2722656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2722656 is about 1650.0472720501. The cubic root of 2722656 is about 139.6360615425.

The spelling of 2722656 in words is "two million, seven hundred twenty-two thousand, six hundred fifty-six".