2256387840 has 360 divisors, whose sum is σ = 9230131680. Its totient is φ = 515579904.

The previous prime is 2256387827. The next prime is 2256387841. The reversal of 2256387840 is 487836522.

2256387840 is a `hidden beast` number, since 2 + 2 + 5 + 638 + 7 + 8 + 4 + 0 = 666.

2256387840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256387841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724206 + ... + 727314.

Almost surely, 2^2256387840 is an apocalyptic number.

2256387840 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 2256387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615065840).

2256387840 is an abundant number, since it is smaller than the sum of its proper divisors (6973743840).

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

2256387840 is an equidigital number, since it uses as much as digits as its factorization.

2256387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2256387840 is about 47501.4509252086. The cubic root of 2256387840 is about 1311.6095903619.

The spelling of 2256387840 in words is "two billion, two hundred fifty-six million, three hundred eighty-seven thousand, eight hundred forty".