2260855296 has 720 divisors, whose sum is σ = 8732655360. Its totient is φ = 557383680.

The previous prime is 2260855271. The next prime is 2260855307. The reversal of 2260855296 is 6925580622.

2260855296 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 8 + 552 + 96 = 666.

It is a super-2 number, since 2×2260855296² = 10222933338902495232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72930801 + ... + 72930831.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^2260855296 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 2260855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366327680).

2260855296 is an abundant number, since it is smaller than the sum of its proper divisors (6471800064).

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

2260855296 is a wasteful number, since it uses less digits than its factorization.

2260855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2260855296 is about 47548.4520883698. The cubic root of 2260855296 is about 1312.4746448435.

The spelling of 2260855296 in words is "two billion, two hundred sixty million, eight hundred fifty-five thousand, two hundred ninety-six".