2256288 has 48 divisors (see below), whose sum is σ = 6239520. Its totient is φ = 711936.

The previous prime is 2256281. The next prime is 2256299. The reversal of 2256288 is 8826522.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2256281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206 + ... + 2442.

It is an arithmetic number, because the mean of its divisors is an integer number (129990).

2^2256288 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 2256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119760).

2256288 is an abundant number, since it is smaller than the sum of its proper divisors (3983232).

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

2256288 is a wasteful number, since it uses less digits than its factorization.

2256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 2256288 is about 1502.0945376374. The cubic root of 2256288 is about 131.1590244835.

The spelling of 2256288 in words is "two million, two hundred fifty-six thousand, two hundred eighty-eight".