2005216002 has 24 divisors (see below), whose sum is σ = 4351815936. Its totient is φ = 667300536.

The previous prime is 2005215967. The next prime is 2005216063. The reversal of 2005216002 is 2006125002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80838 + ... + 102689.

It is an arithmetic number, because the mean of its divisors is an integer number (181325664).

Almost surely, 2^2005216002 is an apocalyptic number.

2005216002 is an abundant number, since it is smaller than the sum of its proper divisors (2346599934).

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

2005216002 is a wasteful number, since it uses less digits than its factorization.

2005216002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184142 (or 184139 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005216002 is about 44779.6382522235. The cubic root of 2005216002 is about 1261.0153908841.

The spelling of 2005216002 in words is "two billion, five million, two hundred sixteen thousand, two".