2256768 has 64 divisors (see below), whose sum is σ = 6670800. Its totient is φ = 751104.

The previous prime is 2256743. The next prime is 2256781. The reversal of 2256768 is 8676522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁹ + 5⁵ + 6² + 7⁵ + 6⁸ + 8⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130 + ... + 3782.

2^2256768 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 2256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335400).

2256768 is an abundant number, since it is smaller than the sum of its proper divisors (4414032).

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

2256768 is an equidigital number, since it uses as much as digits as its factorization.

2256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2256768 is about 1502.2543060348. The cubic root of 2256768 is about 131.1683246952.

The spelling of 2256768 in words is "two million, two hundred fifty-six thousand, seven hundred sixty-eight".