2005200015 has 64 divisors (see below), whose sum is σ = 4055525376. Its totient is φ = 823260672.

The previous prime is 2005200013. The next prime is 2005200047. The reversal of 2005200015 is 5100025002.

It is not a de Polignac number, because 2005200015 - 2¹ = 2005200013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2005199967 and 2005200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005200013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30654 + ... + 70356.

It is an arithmetic number, because the mean of its divisors is an integer number (63367584).

Almost surely, 2^2005200015 is an apocalyptic number.

2005200015 is an abundant number, since it is smaller than the sum of its proper divisors (2050325361).

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

2005200015 is a wasteful number, since it uses less digits than its factorization.

2005200015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39768.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2005200015 is about 44779.4597443962. The cubic root of 2005200015 is about 1261.0120396397.

Adding to 2005200015 its reverse (5100025002), we get a palindrome (7105225017).

The spelling of 2005200015 in words is "two billion, five million, two hundred thousand, fifteen".