2566656 has 60 divisors (see below), whose sum is σ = 7420842. Its totient is φ = 854016.

The previous prime is 2566651. The next prime is 2566661. The reversal of 2566656 is 6566652.

It is an interprime number because it is at equal distance from previous prime (2566651) and next prime (2566661).

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 57600 = 1584^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2566656.

It is not an unprimeable number, because it can be changed into a prime (2566651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4330 + ... + 4886.

2^2566656 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 2566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710421).

2566656 is an abundant number, since it is smaller than the sum of its proper divisors (4854186).

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

2566656 is an equidigital number, since it uses as much as digits as its factorization.

2566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2566656 is about 1602.0786497547. The cubic root of 2566656 is about 136.9165314640.

The spelling of 2566656 in words is "two million, five hundred sixty-six thousand, six hundred fifty-six".