2256960 has 56 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 601600.

The previous prime is 2256959. The next prime is 2256973. The reversal of 2256960 is 696522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

2^2256960 is an apocalyptic number.

2256960 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 2256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2256960 is an abundant number, since it is smaller than the sum of its proper divisors (4911936).

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

2256960 is a wasteful number, since it uses less digits than its factorization.

2256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2256960 is about 1502.3182086362. The cubic root of 2256960 is about 131.1720444106.

The spelling of 2256960 in words is "two million, two hundred fifty-six thousand, nine hundred sixty".