2220413200 has 60 divisors (see below), whose sum is σ = 5362656768. Its totient is φ = 883484800.

The previous prime is 2220413191. The next prime is 2220413203. The reversal of 2220413200 is 23140222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220413203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61869 + ... + 90931.

Almost surely, 2^2220413200 is an apocalyptic number.

2220413200 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 2220413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681328384).

2220413200 is an abundant number, since it is smaller than the sum of its proper divisors (3142243568).

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

2220413200 is a wasteful number, since it uses less digits than its factorization.

2220413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2220413200 is about 47121.2605943432. The cubic root of 2220413200 is about 1304.6016801308.

Adding to 2220413200 its reverse (23140222), we get a palindrome (2243553422).

The spelling of 2220413200 in words is "two billion, two hundred twenty million, four hundred thirteen thousand, two hundred".