2256801 has 24 divisors (see below), whose sum is σ = 3389280. Its totient is φ = 1331712.

The previous prime is 2256791. The next prime is 2256811. The reversal of 2256801 is 1086522.

2256801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2256791) and next prime (2256811).

It is not a de Polignac number, because 2256801 - 2⁷ = 2256673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2256811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16405 + ... + 16541.

It is an arithmetic number, because the mean of its divisors is an integer number (141220).

2^2256801 is an apocalyptic number.

It is an amenable number.

2256801 is a deficient number, since it is larger than the sum of its proper divisors (1132479).

2256801 is a wasteful number, since it uses less digits than its factorization.

2256801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2256801 is about 1502.2652894878. The cubic root of 2256801 is about 131.1689640363.

The spelling of 2256801 in words is "two million, two hundred fifty-six thousand, eight hundred one".