2256320 has 56 divisors (see below), whose sum is σ = 5870448. Its totient is φ = 819200.

The previous prime is 2256313. The next prime is 2256341. The reversal of 2256320 is 236522.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁷ + 5 + 6³ + 3⁹ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2256292 and 2256301.

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, 3200 + ... + 3840.

2^2256320 is an apocalyptic number.

2256320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935224).

2256320 is an abundant number, since it is smaller than the sum of its proper divisors (3614128).

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

2256320 is a wasteful number, since it uses less digits than its factorization.

2256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2256320 is about 1502.1051893925. The cubic root of 2256320 is about 131.1596445387.

The spelling of 2256320 in words is "two million, two hundred fifty-six thousand, three hundred twenty".