2106683232768 has 240 divisors, whose sum is σ = 6515261809056. Its totient is φ = 652955320320.

The previous prime is 2106683232763. The next prime is 2106683232833. The reversal of 2106683232768 is 8672323866012.

2106683232768 is a `hidden beast` number, since 210 + 66 + 83 + 23 + 276 + 8 = 666.

It is a super-2 number, since 2×2106683232768² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2106683232763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6339883 + ... + 6663893.

Almost surely, 2^{2106683232768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106683232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257630904528).

2106683232768 is an abundant number, since it is smaller than the sum of its proper divisors (4408578576288).

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

2106683232768 is a wasteful number, since it uses less digits than its factorization.

2106683232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324135 (or 324116 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2106683232768 in words is "two trillion, one hundred six billion, six hundred eighty-three million, two hundred thirty-two thousand, seven hundred sixty-eight".