2663120256 has 256 divisors, whose sum is σ = 7772889600. Its totient is φ = 805109760.

The previous prime is 2663120231. The next prime is 2663120263. The reversal of 2663120256 is 6520213662.

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 31 ways as a sum of consecutive naturals, for example, 27454800 + ... + 27454896.

It is an arithmetic number, because the mean of its divisors is an integer number (30362850).

Almost surely, 2^2663120256 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 2663120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

2663120256 is an abundant number, since it is smaller than the sum of its proper divisors (5109769344).

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

2663120256 is a wasteful number, since it uses less digits than its factorization.

2663120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2663120256 is about 51605.4285516553. The cubic root of 2663120256 is about 1386.1075400317.

The spelling of 2663120256 in words is "two billion, six hundred sixty-three million, one hundred twenty thousand, two hundred fifty-six".