2005645135206 has 128 divisors (see below), whose sum is σ = 4396501463040. Its totient is φ = 607930012800.

The previous prime is 2005645135199. The next prime is 2005645135211. The reversal of 2005645135206 is 6025315465002.

It is a super-2 number, since 2×2005645135206² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49833111 + ... + 49873341.

It is an arithmetic number, because the mean of its divisors is an integer number (34347667680).

Almost surely, 2^{2005645135206} is an apocalyptic number.

2005645135206 is an abundant number, since it is smaller than the sum of its proper divisors (2390856327834).

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

2005645135206 is a wasteful number, since it uses less digits than its factorization.

2005645135206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40490.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 2005645135206 in words is "two trillion, five billion, six hundred forty-five million, one hundred thirty-five thousand, two hundred six".