2256686784 has 336 divisors, whose sum is σ = 7491496320. Its totient is φ = 665280000.

The previous prime is 2256686779. The next prime is 2256686797. The reversal of 2256686784 is 4876866522.

2256686784 is a `hidden beast` number, since 2 + 2 + 566 + 8 + 6 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2256686784.

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 47 ways as a sum of consecutive naturals, for example, 8990659 + ... + 8990909.

It is an arithmetic number, because the mean of its divisors is an integer number (22296120).

Almost surely, 2^2256686784 is an apocalyptic number.

2256686784 is a gapful number since it is divisible by the number (24) 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 2256686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745748160).

2256686784 is an abundant number, since it is smaller than the sum of its proper divisors (5234809536).

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

2256686784 is a wasteful number, since it uses less digits than its factorization.

2256686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2256686784 is about 47504.5975038206. The cubic root of 2256686784 is about 1311.6675119206.

The spelling of 2256686784 in words is "two billion, two hundred fifty-six million, six hundred eighty-six thousand, seven hundred eighty-four".