2106066384 has 60 divisors (see below), whose sum is σ = 6031149696. Its totient is φ = 685694016.

The previous prime is 2106066377. The next prime is 2106066401. The reversal of 2106066384 is 4836606012.

2106066384 is a `hidden beast` number, since 2 + 10 + 6 + 0 + 6 + 638 + 4 = 666.

It is a super-3 number, since 3×2106066384³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 163872 + ... + 176255.

Almost surely, 2^2106066384 is an apocalyptic number.

2106066384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106066384 is an abundant number, since it is smaller than the sum of its proper divisors (3925083312).

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

2106066384 is a wasteful number, since it uses less digits than its factorization.

2106066384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340184 (or 340175 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2106066384 is about 45891.8988929419. The cubic root of 2106066384 is about 1281.8110723723.

The spelling of 2106066384 in words is "two billion, one hundred six million, sixty-six thousand, three hundred eighty-four".