2005053666 has 32 divisors (see below), whose sum is σ = 4999615488. Its totient is φ = 520793040.

The previous prime is 2005053637. The next prime is 2005053691. The reversal of 2005053666 is 6663505002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169510 + ... + 2170433.

It is an arithmetic number, because the mean of its divisors is an integer number (156237984).

Almost surely, 2^2005053666 is an apocalyptic number.

2005053666 is an abundant number, since it is smaller than the sum of its proper divisors (2994561822).

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

2005053666 is a wasteful number, since it uses less digits than its factorization.

2005053666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339966.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2005053666 is about 44777.8256059849. The cubic root of 2005053666 is about 1260.9813606817.

Adding to 2005053666 its reverse (6663505002), we get a palindrome (8668558668).

The spelling of 2005053666 in words is "two billion, five million, fifty-three thousand, six hundred sixty-six".