2106840638016 has 189 divisors, whose sum is σ = 6089523468249. Its totient is φ = 696439392768.

The previous prime is 2106840638009. The next prime is 2106840638041. The reversal of 2106840638016 is 6108360486012.

The square root of 2106840638016 is 1451496.

It is a perfect power (a square), and thus also a powerful number.

2106840638016 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 8 + 4 + 0 + 638 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2064279297600 + 42561340416 = 1436760^2 + 206304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6862672935 + ... + 6862673241.

Almost surely, 2^{2106840638016} is an apocalyptic number.

2106840638016 is the 1451496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106840638016

2106840638016 is an abundant number, since it is smaller than the sum of its proper divisors (3982682830233).

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

2106840638016 is an frugal number, since it uses more digits than its factorization.

2106840638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2106840638016 in words is "two trillion, one hundred six billion, eight hundred forty million, six hundred thirty-eight thousand, sixteen".