2256821632 has 64 divisors (see below), whose sum is σ = 4954617360. Its totient is φ = 1017354240.

The previous prime is 2256821591. The next prime is 2256821641. The reversal of 2256821632 is 2361286522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2256821591 and 2256821600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55782 + ... + 87322.

Almost surely, 2^2256821632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477308680).

2256821632 is an abundant number, since it is smaller than the sum of its proper divisors (2697795728).

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

2256821632 is a wasteful number, since it uses less digits than its factorization.

2256821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31611 (or 31599 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 2256821632 is about 47506.0167978752. The cubic root of 2256821632 is about 1311.6936375692.

The spelling of 2256821632 in words is "two billion, two hundred fifty-six million, eight hundred twenty-one thousand, six hundred thirty-two".