2005171200 has 330 divisors, whose sum is σ = 7432591496. Its totient is φ = 534159360.

The previous prime is 2005171193. The next prime is 2005171219. The reversal of 2005171200 is 21715002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073117 + ... + 2074083.

Almost surely, 2^2005171200 is an apocalyptic number.

2005171200 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 2005171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716295748).

2005171200 is an abundant number, since it is smaller than the sum of its proper divisors (5427420296).

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

2005171200 is an equidigital number, since it uses as much as digits as its factorization.

2005171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2005171200 is about 44779.1379997427. The cubic root of 2005171200 is about 1261.0059993053.

Adding to 2005171200 its reverse (21715002), we get a palindrome (2026886202).

The spelling of 2005171200 in words is "two billion, five million, one hundred seventy-one thousand, two hundred".