2256128 has 36 divisors (see below), whose sum is σ = 5150880. Its totient is φ = 966144.

The previous prime is 2256127. The next prime is 2256131. The reversal of 2256128 is 8216522.

It is a super-2 number, since 2×2256128² = 10180227104768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2256097 and 2256106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

2^2256128 is an apocalyptic number.

2256128 is a gapful number since it is divisible by the number (28) 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 2256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575440).

2256128 is an abundant number, since it is smaller than the sum of its proper divisors (2894752).

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

2256128 is an equidigital number, since it uses as much as digits as its factorization.

2256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 2256128 is about 1502.0412777284. The cubic root of 2256128 is about 131.1559241199.

The spelling of 2256128 in words is "two million, two hundred fifty-six thousand, one hundred twenty-eight".