2656896 has 128 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 737280.

The previous prime is 2656889. The next prime is 2656909. The reversal of 2656896 is 6986562.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71790 + ... + 71826.

2^2656896 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 2656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

2656896 is an abundant number, since it is smaller than the sum of its proper divisors (5715264).

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

2656896 is a wasteful number, since it uses less digits than its factorization.

2656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 2656896 is about 1629.9987730057. The cubic root of 2656896 is about 138.5026825496.

The spelling of 2656896 in words is "two million, six hundred fifty-six thousand, eight hundred ninety-six".