2256590336 has 480 divisors, whose sum is σ = 6700633632. Its totient is φ = 743178240.

The previous prime is 2256590333. The next prime is 2256590377. The reversal of 2256590336 is 6330956522.

It is a junction number, because it is equal to n+sod(n) for n = 2256590293 and 2256590302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256590333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60988910 + ... + 60988946.

Almost surely, 2^2256590336 is an apocalyptic number.

2256590336 is a gapful number since it is divisible by the number (26) 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 2256590336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350316816).

2256590336 is an abundant number, since it is smaller than the sum of its proper divisors (4444043296).

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

2256590336 is a wasteful number, since it uses less digits than its factorization.

2256590336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The square root of 2256590336 is about 47503.5823491239. The cubic root of 2256590336 is about 1311.6488253058.

The spelling of 2256590336 in words is "two billion, two hundred fifty-six million, five hundred ninety thousand, three hundred thirty-six".