2256000 has 128 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 588800.

The previous prime is 2255999. The next prime is 2256013. The reversal of 2256000 is 6522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47977 + ... + 48023.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2^2256000 is an apocalyptic number.

2256000 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 2256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2256000 is an abundant number, since it is smaller than the sum of its proper divisors (5381760).

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

2256000 is an equidigital number, since it uses as much as digits as its factorization.

2256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2256000 is about 1501.9986684415. The cubic root of 2256000 is about 131.1534437234.

It can be divided in two parts, 2 and 256000, that multiplied together give a cube (512000 = 80³).

The spelling of 2256000 in words is "two million, two hundred fifty-six thousand".