2646656 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 1182720.

The previous prime is 2646653. The next prime is 2646659. The reversal of 2646656 is 6566462.

It is an interprime number because it is at equal distance from previous prime (2646653) and next prime (2646659).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85361 + ... + 85391.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2646656 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 2646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2646656 is an abundant number, since it is smaller than the sum of its proper divisors (3228544).

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

2646656 is a wasteful number, since it uses less digits than its factorization.

2646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 2646656 is about 1626.8546339486. The cubic root of 2646656 is about 138.3245180751.

The spelling of 2646656 in words is "two million, six hundred forty-six thousand, six hundred fifty-six".