2700800256 has 288 divisors, whose sum is σ = 9065548800. Its totient is φ = 693411840.

The previous prime is 2700800209. The next prime is 2700800279. The reversal of 2700800256 is 6520080072.

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 31 ways as a sum of consecutive naturals, for example, 6445615 + ... + 6446033.

It is an arithmetic number, because the mean of its divisors is an integer number (31477600).

Almost surely, 2^2700800256 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 2700800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532774400).

2700800256 is an abundant number, since it is smaller than the sum of its proper divisors (6364748544).

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

2700800256 is a wasteful number, since it uses less digits than its factorization.

2700800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2700800256 is about 51969.2241235137. The cubic root of 2700800256 is about 1392.6142090615.

The spelling of 2700800256 in words is "two billion, seven hundred million, eight hundred thousand, two hundred fifty-six".