2256433920 has 648 divisors, whose sum is σ = 9044577360. Its totient is φ = 517570560.

The previous prime is 2256433913. The next prime is 2256433931. The reversal of 2256433920 is 293346522.

It is a happy number.

2256433920 is a `hidden beast` number, since 2 + 2 + 5 + 643 + 3 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36990690 + ... + 36990750.

Almost surely, 2^2256433920 is an apocalyptic number.

2256433920 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 2256433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522288680).

2256433920 is an abundant number, since it is smaller than the sum of its proper divisors (6788143440).

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

2256433920 is a wasteful number, since it uses less digits than its factorization.

2256433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2256433920 is about 47501.9359605480. The cubic root of 2256433920 is about 1311.6185188740.

The spelling of 2256433920 in words is "two billion, two hundred fifty-six million, four hundred thirty-three thousand, nine hundred twenty".