2772824256 has 84 divisors (see below), whose sum is σ = 7971278952. Its totient is φ = 921544704.

The previous prime is 2772824237. The next prime is 2772824303. The reversal of 2772824256 is 6524282772.

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 11 ways as a sum of consecutive naturals, for example, 192936 + ... + 206808.

It is an arithmetic number, because the mean of its divisors is an integer number (94896178).

Almost surely, 2^2772824256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985639476).

2772824256 is an abundant number, since it is smaller than the sum of its proper divisors (5198454696).

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

2772824256 is a wasteful number, since it uses less digits than its factorization.

2772824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14225 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2772824256 is about 52657.6134666204. The cubic root of 2772824256 is about 1404.8850192334.

It can be divided in two parts, 27728 and 24256, that added together give a square (51984 = 228²).

The spelling of 2772824256 in words is "two billion, seven hundred seventy-two million, eight hundred twenty-four thousand, two hundred fifty-six".