2185251200 has 96 divisors (see below), whose sum is σ = 5889098520. Its totient is φ = 794624000.

The previous prime is 2185251197. The next prime is 2185251209. The reversal of 2185251200 is 21525812.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2185251200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185251209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4160 + ... + 66240.

Almost surely, 2^2185251200 is an apocalyptic number.

2185251200 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 2185251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944549260).

2185251200 is an abundant number, since it is smaller than the sum of its proper divisors (3703847320).

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

2185251200 is a wasteful number, since it uses less digits than its factorization.

2185251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62116 (or 62099 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 2185251200 is about 46746.6704696709. The cubic root of 2185251200 is about 1297.6785393908.

The spelling of 2185251200 in words is "two billion, one hundred eighty-five million, two hundred fifty-one thousand, two hundred".