2268805680000 has 960 divisors, whose sum is σ = 8654017640400. Its totient is φ = 584962560000.

The previous prime is 2268805679989. The next prime is 2268805680007. The reversal of 2268805680000 is 865088622.

2268805680000 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 80 + 568 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268805680007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2075759454 + ... + 2075760546.

Almost surely, 2^{2268805680000} is an apocalyptic number.

2268805680000 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 2268805680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327008820200).

2268805680000 is an abundant number, since it is smaller than the sum of its proper divisors (6385211960400).

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

2268805680000 is an equidigital number, since it uses as much as digits as its factorization.

2268805680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2268805680000 in words is "two trillion, two hundred sixty-eight billion, eight hundred five million, six hundred eighty thousand".