2168217840960 has 448 divisors, whose sum is σ = 7866473472000. Its totient is φ = 561888036864.

The previous prime is 2168217840931. The next prime is 2168217840961. The reversal of 2168217840960 is 690487128612.

It is a happy number.

2168217840960 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 2 + 178 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2168217840897 and 2168217840906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168217840961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73917817 + ... + 73947143.

Almost surely, 2^{2168217840960} is an apocalyptic number.

2168217840960 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 2168217840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933236736000).

2168217840960 is an abundant number, since it is smaller than the sum of its proper divisors (5698255631040).

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

2168217840960 is a wasteful number, since it uses less digits than its factorization.

2168217840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29595 (or 29579 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2168217840960 in words is "two trillion, one hundred sixty-eight billion, two hundred seventeen million, eight hundred forty thousand, nine hundred sixty".