2005638206 has 64 divisors (see below), whose sum is σ = 3843806400. Its totient is φ = 770549760.

The previous prime is 2005638199. The next prime is 2005638211. The reversal of 2005638206 is 6028365002.

It is a super-2 number, since 2×2005638206² = 8045169226733796872, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 174320 + ... + 185468.

It is an arithmetic number, because the mean of its divisors is an integer number (60059475).

Almost surely, 2^2005638206 is an apocalyptic number.

2005638206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2005638206 is a deficient number, since it is larger than the sum of its proper divisors (1838168194).

2005638206 is a wasteful number, since it uses less digits than its factorization.

2005638206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2005638206 is about 44784.3522449527. The cubic root of 2005638206 is about 1261.1038881464.

The spelling of 2005638206 in words is "two billion, five million, six hundred thirty-eight thousand, two hundred six".