2430013200 has 120 divisors (see below), whose sum is σ = 7795632000. Its totient is φ = 647047680.

The previous prime is 2430013193. The next prime is 2430013207. The reversal of 2430013200 is 23100342.

It is an interprime number because it is at equal distance from previous prime (2430013193) and next prime (2430013207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2430013200.

It is not an unprimeable number, because it can be changed into a prime (2430013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245826 + ... + 1247774.

It is an arithmetic number, because the mean of its divisors is an integer number (64963600).

Almost surely, 2^2430013200 is an apocalyptic number.

2430013200 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 2430013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897816000).

2430013200 is an abundant number, since it is smaller than the sum of its proper divisors (5365618800).

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

2430013200 is a wasteful number, since it uses less digits than its factorization.

2430013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2430013200 is about 49295.1640630194. The cubic root of 2430013200 is about 1344.4238583061.

Adding to 2430013200 its reverse (23100342), we get a palindrome (2453113542).

The spelling of 2430013200 in words is "two billion, four hundred thirty million, thirteen thousand, two hundred".