2256033760 has 96 divisors (see below), whose sum is σ = 5475399552. Its totient is φ = 878100480.

The previous prime is 2256033757. The next prime is 2256033781. The reversal of 2256033760 is 673306522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945529 + ... + 947911.

It is an arithmetic number, because the mean of its divisors is an integer number (57035412).

Almost surely, 2^2256033760 is an apocalyptic number.

2256033760 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 2256033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737699776).

2256033760 is an abundant number, since it is smaller than the sum of its proper divisors (3219365792).

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

2256033760 is a wasteful number, since it uses less digits than its factorization.

2256033760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 2256033760 is about 47497.7237349328. The cubic root of 2256033760 is about 1311.5409793707.

The spelling of 2256033760 in words is "two billion, two hundred fifty-six million, thirty-three thousand, seven hundred sixty".