2256309 has 32 divisors (see below), whose sum is σ = 3732480. Its totient is φ = 1335600.

The previous prime is 2256299. The next prime is 2256311. The reversal of 2256309 is 9036522.

2256309 is a `hidden beast` number, since 2 + 25 + 630 + 9 = 666.

It is not a de Polignac number, because 2256309 - 2⁷ = 2256181 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹² + 2¹² + 5⁸ + 6⁸ + 3¹¹ + 0 + 9³ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21034 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

2^2256309 is an apocalyptic number.

It is an amenable number.

2256309 is a deficient number, since it is larger than the sum of its proper divisors (1476171).

2256309 is a wasteful number, since it uses less digits than its factorization.

2256309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2256309 is about 1502.1015278602. The cubic root of 2256309 is about 131.1594313954.

The spelling of 2256309 in words is "two million, two hundred fifty-six thousand, three hundred nine".