2220145200 has 720 divisors, whose sum is σ = 9872868096. Its totient is φ = 466560000.

The previous prime is 2220145183. The next prime is 2220145229. The reversal of 2220145200 is 25410222.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845075 + ... + 8845325.

Almost surely, 2^2220145200 is an apocalyptic number.

2220145200 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 2220145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936434048).

2220145200 is an abundant number, since it is smaller than the sum of its proper divisors (7652722896).

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

2220145200 is a wasteful number, since it uses less digits than its factorization.

2220145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

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

The square root of 2220145200 is about 47118.4167815516. The cubic root of 2220145200 is about 1304.5491903033.

Adding to 2220145200 its reverse (25410222), we get a palindrome (2245555422).

The spelling of 2220145200 in words is "two billion, two hundred twenty million, one hundred forty-five thousand, two hundred".