2656890 has 48 divisors (see below), whose sum is σ = 7050888. Its totient is φ = 693888.

The previous prime is 2656889. The next prime is 2656909. The reversal of 2656890 is 986562.

2656890 is a `hidden beast` number, since 2 + 6 + 568 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830609 + 826281 = 1353^2 + 909^2 .

It is a super-3 number, since 3×2656890³ = 56265473415833307000, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4492 + ... + 5048.

2^2656890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525444).

2656890 is an abundant number, since it is smaller than the sum of its proper divisors (4393998).

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

2656890 is a wasteful number, since it uses less digits than its factorization.

2656890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2656890 is about 1629.9969325125. The cubic root of 2656890 is about 138.5025782905.

The spelling of 2656890 in words is "two million, six hundred fifty-six thousand, eight hundred ninety".