2778308438256 has 200 divisors, whose sum is σ = 8661167628960. Its totient is φ = 854727842304.

The previous prime is 2778308438251. The next prime is 2778308438263. The reversal of 2778308438256 is 6528348038772.

2778308438256 is a `hidden beast` number, since 2 + 7 + 78 + 308 + 4 + 3 + 8 + 256 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2778308438193 and 2778308438202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778308438251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174082405 + ... + 174098363.

Almost surely, 2^{2778308438256} is an apocalyptic number.

2778308438256 is a gapful number since it is divisible by the number (26) 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 2778308438256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330583814480).

2778308438256 is an abundant number, since it is smaller than the sum of its proper divisors (5882859190704).

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

2778308438256 is a wasteful number, since it uses less digits than its factorization.

2778308438256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26325 (or 26310 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2778308438256 in words is "two trillion, seven hundred seventy-eight billion, three hundred eight million, four hundred thirty-eight thousand, two hundred fifty-six".