2256439920 has 480 divisors, whose sum is σ = 8860575744. Its totient is φ = 463503360.

The previous prime is 2256439907. The next prime is 2256439957. The reversal of 2256439920 is 299346522.

It is a super-2 number, since 2×2256439920² = 10183042225139212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48009337 + ... + 48009383.

Almost surely, 2^2256439920 is an apocalyptic number.

2256439920 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 2256439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430287872).

2256439920 is an abundant number, since it is smaller than the sum of its proper divisors (6604135824).

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

2256439920 is a wasteful number, since it uses less digits than its factorization.

2256439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2256439920 is about 47501.9991158267. Note that the first 3 decimals coincide. The cubic root of 2256439920 is about 1311.6196814317.

The spelling of 2256439920 in words is "two billion, two hundred fifty-six million, four hundred thirty-nine thousand, nine hundred twenty".