2700824256 has 224 divisors, whose sum is σ = 8602675200. Its totient is φ = 825984000.

The previous prime is 2700824251. The next prime is 2700824263. The reversal of 2700824256 is 6524280072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2700824256.

It is not an unprimeable number, because it can be changed into a prime (2700824251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5638225 + ... + 5638703.

It is an arithmetic number, because the mean of its divisors is an integer number (38404800).

Almost surely, 2^2700824256 is an apocalyptic number.

2700824256 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 2700824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2700824256 is an abundant number, since it is smaller than the sum of its proper divisors (5901850944).

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

2700824256 is a wasteful number, since it uses less digits than its factorization.

2700824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2700824256 is about 51969.4550288917. The cubic root of 2700824256 is about 1392.6183340910.

The spelling of 2700824256 in words is "two billion, seven hundred million, eight hundred twenty-four thousand, two hundred fifty-six".