2222166840768 has 560 divisors, whose sum is σ = 7744936528384. Its totient is φ = 616687810560.

The previous prime is 2222166840767. The next prime is 2222166840787. The reversal of 2222166840768 is 8670486612222.

2222166840768 is a `hidden beast` number, since 2 + 2 + 221 + 6 + 6 + 8 + 407 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222166840763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1105004883 + ... + 1105006893.

Almost surely, 2^{2222166840768} is an apocalyptic number.

2222166840768 is a gapful number since it is divisible by the number (28) 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 2222166840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872468264192).

2222166840768 is an abundant number, since it is smaller than the sum of its proper divisors (5522769687616).

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

2222166840768 is a wasteful number, since it uses less digits than its factorization.

2222166840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2222166840768 in words is "two trillion, two hundred twenty-two billion, one hundred sixty-six million, eight hundred forty thousand, seven hundred sixty-eight".