2256576 has 112 divisors (see below), whose sum is σ = 7217664. Its totient is φ = 608256.

The previous prime is 2256571. The next prime is 2256601. The reversal of 2256576 is 6756522.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2256571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30876 + ... + 30948.

2^2256576 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 2256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608832).

2256576 is an abundant number, since it is smaller than the sum of its proper divisors (4961088).

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

2256576 is a wasteful number, since it uses less digits than its factorization.

2256576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 2256576 is about 1502.1904007149. The cubic root of 2256576 is about 131.1646047688.

The spelling of 2256576 in words is "two million, two hundred fifty-six thousand, five hundred seventy-six".