2005668307 has 8 divisors (see below), whose sum is σ = 2062047680. Its totient is φ = 1949731560.

The previous prime is 2005668293. The next prime is 2005668323. The reversal of 2005668307 is 7038665002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005668307 - 2⁷ = 2005668179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005668337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101457 + ... + 119602.

It is an arithmetic number, because the mean of its divisors is an integer number (257755960).

Almost surely, 2^2005668307 is an apocalyptic number.

2005668307 is a deficient number, since it is larger than the sum of its proper divisors (56379373).

2005668307 is a wasteful number, since it uses less digits than its factorization.

2005668307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221313.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2005668307 is about 44784.6883097337. The cubic root of 2005668307 is about 1261.1101970773.

The spelling of 2005668307 in words is "two billion, five million, six hundred sixty-eight thousand, three hundred seven".