2256821460 has 192 divisors, whose sum is σ = 7277276160. Its totient is φ = 580245120.

The previous prime is 2256821459. The next prime is 2256821471. The reversal of 2256821460 is 641286522.

It is a happy number.

2256821460 is a `hidden beast` number, since 22 + 568 + 2 + 14 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926675 + ... + 1927845.

It is an arithmetic number, because the mean of its divisors is an integer number (37902480).

Almost surely, 2^2256821460 is an apocalyptic number.

2256821460 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 2256821460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638638080).

2256821460 is an abundant number, since it is smaller than the sum of its proper divisors (5020454700).

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

2256821460 is a wasteful number, since it uses less digits than its factorization.

2256821460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2256821460 is about 47506.0149875782. The cubic root of 2256821460 is about 1311.6936042464.

The spelling of 2256821460 in words is "two billion, two hundred fifty-six million, eight hundred twenty-one thousand, four hundred sixty".