2168733122640 has 960 divisors, whose sum is σ = 9169288128000. Its totient is φ = 448267862016.

The previous prime is 2168733122629. The next prime is 2168733122641. The reversal of 2168733122640 is 462213378612.

2168733122640 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 73 + 312 + 264 + 0 = 666.

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 (2168733122641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 187779586 + ... + 187791134.

It is an arithmetic number, because the mean of its divisors is an integer number (9551341800).

Almost surely, 2^{2168733122640} is an apocalyptic number.

2168733122640 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 2168733122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584644064000).

2168733122640 is an abundant number, since it is smaller than the sum of its proper divisors (7000555005360).

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

2168733122640 is a wasteful number, since it uses less digits than its factorization.

2168733122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2168733122640 in words is "two trillion, one hundred sixty-eight billion, seven hundred thirty-three million, one hundred twenty-two thousand, six hundred forty".