2430004113 has 48 divisors (see below), whose sum is σ = 3698669520. Its totient is φ = 1535846400.

The previous prime is 2430004111. The next prime is 2430004117. The reversal of 2430004113 is 3114000342.

2430004113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1809396369 + 620607744 = 42537^2 + 24912^2 .

It is not a de Polignac number, because 2430004113 - 2¹ = 2430004111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2430004111) 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, 2002695 + ... + 2003907.

It is an arithmetic number, because the mean of its divisors is an integer number (77055615).

Almost surely, 2^2430004113 is an apocalyptic number.

It is an amenable number.

2430004113 is a deficient number, since it is larger than the sum of its proper divisors (1268665407).

2430004113 is a wasteful number, since it uses less digits than its factorization.

2430004113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2430004113 is about 49295.0718936488. The cubic root of 2430004113 is about 1344.4221824860.

Adding to 2430004113 its reverse (3114000342), we get a palindrome (5544004455).

The spelling of 2430004113 in words is "two billion, four hundred thirty million, four thousand, one hundred thirteen".