2005205200 has 60 divisors (see below), whose sum is σ = 4825450080. Its totient is φ = 800759680.

The previous prime is 2005205183. The next prime is 2005205201. The reversal of 2005205200 is 25025002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005205201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259797 + ... + 267403.

It is an arithmetic number, because the mean of its divisors is an integer number (80424168).

Almost surely, 2^2005205200 is an apocalyptic number.

2005205200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412725040).

2005205200 is an abundant number, since it is smaller than the sum of its proper divisors (2820244880).

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

2005205200 is a wasteful number, since it uses less digits than its factorization.

2005205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2005205200 is about 44779.5176392064. The cubic root of 2005205200 is about 1261.0131265374.

The spelling of 2005205200 in words is "two billion, five million, two hundred five thousand, two hundred".