2005646382 has 48 divisors (see below), whose sum is σ = 4373106192. Its totient is φ = 664329600.

The previous prime is 2005646381. The next prime is 2005646387. The reversal of 2005646382 is 2836465002.

2005646382 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 646 + 3 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005646381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3336882 + ... + 3337482.

It is an arithmetic number, because the mean of its divisors is an integer number (91106379).

Almost surely, 2^2005646382 is an apocalyptic number.

2005646382 is an abundant number, since it is smaller than the sum of its proper divisors (2367459810).

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

2005646382 is a wasteful number, since it uses less digits than its factorization.

2005646382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2005646382 is about 44784.4435267426. The cubic root of 2005646382 is about 1261.1056017774.

The spelling of 2005646382 in words is "two billion, five million, six hundred forty-six thousand, three hundred eighty-two".