2609856 has 84 divisors (see below), whose sum is σ = 7845552. Its totient is φ = 827904.

The previous prime is 2609813. The next prime is 2609899. The reversal of 2609856 is 6589062.

It is an interprime number because it is at equal distance from previous prime (2609813) and next prime (2609899).

It is a super-2 number, since 2×2609856² = 13622696681472, which contains 22 as substring.

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 2609856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13150 + ... + 13346.

2^2609856 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 2609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776).

2609856 is an abundant number, since it is smaller than the sum of its proper divisors (5235696).

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

2609856 is a wasteful number, since it uses less digits than its factorization.

2609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

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

The square root of 2609856 is about 1615.5048746445. The cubic root of 2609856 is about 137.6804199087.

The spelling of 2609856 in words is "two million, six hundred nine thousand, eight hundred fifty-six".