2005202115 has 32 divisors (see below), whose sum is σ = 4074063360. Its totient is φ = 916663392.

The previous prime is 2005202099. The next prime is 2005202117. The reversal of 2005202115 is 5112025002.

It is not a de Polignac number, because 2005202115 - 2⁴ = 2005202099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060009 + ... + 1061898.

It is an arithmetic number, because the mean of its divisors is an integer number (127314480).

Almost surely, 2^2005202115 is an apocalyptic number.

2005202115 is an abundant number, since it is smaller than the sum of its proper divisors (2068861245).

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

2005202115 is a wasteful number, since it uses less digits than its factorization.

2005202115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121928 (or 2121922 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2005202115 is about 44779.4831926408. The cubic root of 2005202115 is about 1261.0124798492.

Adding to 2005202115 its reverse (5112025002), we get a palindrome (7117227117).

The spelling of 2005202115 in words is "two billion, five million, two hundred two thousand, one hundred fifteen".