2656116 has 36 divisors (see below), whose sum is σ = 6797700. Its totient is φ = 874368.

The previous prime is 2656099. The next prime is 2656117. The reversal of 2656116 is 6116562.

It is a happy number.

2656116 is a `hidden beast` number, since 2 + 656 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 1664100 = 996^2 + 1290^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2656116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2790 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (188825).

2^2656116 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 2656116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398850).

2656116 is an abundant number, since it is smaller than the sum of its proper divisors (4141584).

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

2656116 is a wasteful number, since it uses less digits than its factorization.

2656116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 923 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2656116 is about 1629.7594914588. The cubic root of 2656116 is about 138.4891275508.

It can be divided in two parts, 2656 and 116, that added together give a palindrome (2772).

The spelling of 2656116 in words is "two million, six hundred fifty-six thousand, one hundred sixteen".