2256418440 has 96 divisors (see below), whose sum is σ = 7346266200. Its totient is φ = 600652800.

The previous prime is 2256418433. The next prime is 2256418453. The reversal of 2256418440 is 448146522.

2256418440 is a `hidden beast` number, since 2 + 2 + 5 + 641 + 8 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2246191236 + 10227204 = 47394^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2256418395 and 2256418404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211146 + ... + 221574.

Almost surely, 2^2256418440 is an apocalyptic number.

2256418440 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 2256418440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673133100).

2256418440 is an abundant number, since it is smaller than the sum of its proper divisors (5089847760).

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

2256418440 is a wasteful number, since it uses less digits than its factorization.

2256418440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2256418440 is about 47501.7730195411. The cubic root of 2256418440 is about 1311.6155194655.

The spelling of 2256418440 in words is "two billion, two hundred fifty-six million, four hundred eighteen thousand, four hundred forty".