2201330304 has 128 divisors (see below), whose sum is σ = 6648523200. Its totient is φ = 716663808.

The previous prime is 2201330279. The next prime is 2201330309. The reversal of 2201330304 is 4030331022.

It is a tau number, because it is divible by the number of its divisors (128).

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 (2201330309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141202 + ... + 156014.

Almost surely, 2^2201330304 is an apocalyptic number.

2201330304 is a gapful number since it is divisible by the number (24) 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 2201330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324261600).

2201330304 is an abundant number, since it is smaller than the sum of its proper divisors (4447192896).

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

2201330304 is a wasteful number, since it uses less digits than its factorization.

2201330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2201330304 is about 46918.3365434027. The cubic root of 2201330304 is about 1300.8535428186.

Adding to 2201330304 its reverse (4030331022), we get a palindrome (6231661326).

The spelling of 2201330304 in words is "two billion, two hundred one million, three hundred thirty thousand, three hundred four".