2256480 has 72 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 601344.

The previous prime is 2256479. The next prime is 2256533. The reversal of 2256480 is 846522.

2256480 is a `hidden beast` number, since 22 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

2^2256480 is an apocalyptic number.

2256480 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 2256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2256480 is an abundant number, since it is smaller than the sum of its proper divisors (5448672).

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

2256480 is a wasteful number, since it uses less digits than its factorization.

2256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2256480 is about 1502.1584470355. The cubic root of 2256480 is about 131.1627447265.

The spelling of 2256480 in words is "two million, two hundred fifty-six thousand, four hundred eighty".