2268855680 has 256 divisors, whose sum is σ = 6744729600. Its totient is φ = 710664192.

The previous prime is 2268855653. The next prime is 2268855691. The reversal of 2268855680 is 865588622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9493001 + ... + 9493239.

It is an arithmetic number, because the mean of its divisors is an integer number (26346600).

Almost surely, 2^2268855680 is an apocalyptic number.

2268855680 is a gapful number since it is divisible by the number (20) 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 2268855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372364800).

2268855680 is an abundant number, since it is smaller than the sum of its proper divisors (4475873920).

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

2268855680 is a wasteful number, since it uses less digits than its factorization.

2268855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 50.

The square root of 2268855680 is about 47632.5065475249. The cubic root of 2268855680 is about 1314.0209534192.

The spelling of 2268855680 in words is "two billion, two hundred sixty-eight million, eight hundred fifty-five thousand, six hundred eighty".