2005203210 has 64 divisors (see below), whose sum is σ = 5125254912. Its totient is φ = 500335616.

The previous prime is 2005203191. The next prime is 2005203283. The reversal of 2005203210 is 123025002.

2005203210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2005203210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76867 + ... + 99593.

It is an arithmetic number, because the mean of its divisors is an integer number (80082108).

Almost surely, 2^2005203210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005203210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562627456).

2005203210 is an abundant number, since it is smaller than the sum of its proper divisors (3120051702).

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

2005203210 is a wasteful number, since it uses less digits than its factorization.

2005203210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22927.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2005203210 is about 44779.4954192206. The cubic root of 2005203210 is about 1261.0127093869.

Adding to 2005203210 its reverse (123025002), we get a palindrome (2128228212).

The spelling of 2005203210 in words is "two billion, five million, two hundred three thousand, two hundred ten".