2250412200 has 192 divisors, whose sum is σ = 7846372800. Its totient is φ = 592761600.

The previous prime is 2250412163. The next prime is 2250412201. The reversal of 2250412200 is 22140522.

2250412200 is a `hidden beast` number, since 2 + 2 + 50 + 412 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2250412201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445690 + ... + 450710.

It is an arithmetic number, because the mean of its divisors is an integer number (40866525).

Almost surely, 2^2250412200 is an apocalyptic number.

2250412200 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 2250412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923186400).

2250412200 is an abundant number, since it is smaller than the sum of its proper divisors (5595960600).

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

2250412200 is a wasteful number, since it uses less digits than its factorization.

2250412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2250412200 is about 47438.5096730494. The cubic root of 2250412200 is about 1310.4507121890.

Adding to 2250412200 its reverse (22140522), we get a palindrome (2272552722).

The spelling of 2250412200 in words is "two billion, two hundred fifty million, four hundred twelve thousand, two hundred".