2256772847472 has 1280 divisors, whose sum is σ = 8340799488000. Its totient is φ = 577172044800.

The previous prime is 2256772847467. The next prime is 2256772847521. The reversal of 2256772847472 is 2747482776522.

2256772847472 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 77 + 28 + 474 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6149244633 + ... + 6149244999.

It is an arithmetic number, because the mean of its divisors is an integer number (6516249600).

Almost surely, 2^{2256772847472} is an apocalyptic number.

2256772847472 is a gapful number since it is divisible by the number (22) 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 2256772847472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170399744000).

2256772847472 is an abundant number, since it is smaller than the sum of its proper divisors (6084026640528).

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

2256772847472 is a wasteful number, since it uses less digits than its factorization.

2256772847472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 446 counting only the distinct ones).

The product of its digits is 147517440, while the sum is 63.

The spelling of 2256772847472 in words is "two trillion, two hundred fifty-six billion, seven hundred seventy-two million, eight hundred forty-seven thousand, four hundred seventy-two".