2032105200 has 480 divisors, whose sum is σ = 7412954112. Its totient is φ = 473088000.

The previous prime is 2032105193. The next prime is 2032105247. The reversal of 2032105200 is 25012302.

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 2032105200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28621165 + ... + 28621235.

Almost surely, 2^2032105200 is an apocalyptic number.

2032105200 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 2032105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706477056).

2032105200 is an abundant number, since it is smaller than the sum of its proper divisors (5380848912).

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

2032105200 is a wasteful number, since it uses less digits than its factorization.

2032105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

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

The square root of 2032105200 is about 45078.8775370461. The cubic root of 2032105200 is about 1266.6269639756.

Adding to 2032105200 its reverse (25012302), we get a palindrome (2057117502).

The spelling of 2032105200 in words is "two billion, thirty-two million, one hundred five thousand, two hundred".