2168945815680 has 288 divisors, whose sum is σ = 8712440687340. Its totient is φ = 495758979072.

The previous prime is 2168945815649. The next prime is 2168945815681. The reversal of 2168945815680 is 865185498612.

2168945815680 is a `hidden beast` number, since 2 + 1 + 68 + 9 + 4 + 5 + 8 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2159418494016 + 9527321664 = 1469496^2 + 97608^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2168945815681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3560139 + ... + 4124618.

Almost surely, 2^{2168945815680} is an apocalyptic number.

2168945815680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168945815680 is an abundant number, since it is smaller than the sum of its proper divisors (6543494871660).

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

2168945815680 is a wasteful number, since it uses less digits than its factorization.

2168945815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684796 (or 7684774 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 2168945815680 in words is "two trillion, one hundred sixty-eight billion, nine hundred forty-five million, eight hundred fifteen thousand, six hundred eighty".