2430220013 has 16 divisors (see below), whose sum is σ = 2633538096. Its totient is φ = 2229288960.

The previous prime is 2430219959. The next prime is 2430220033. The reversal of 2430220013 is 3100220342.

It can be written as a sum of positive squares in 8 ways, for example, as 11744329 + 2418475684 = 3427^2 + 49178^2 .

It is a cyclic number.

It is not a de Polignac number, because 2430220013 - 2²⁸ = 2161784557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2430219973 and 2430220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582123 + ... + 2583063.

It is an arithmetic number, because the mean of its divisors is an integer number (164596131).

Almost surely, 2^2430220013 is an apocalyptic number.

It is an amenable number.

2430220013 is a deficient number, since it is larger than the sum of its proper divisors (203318083).

2430220013 is a wasteful number, since it uses less digits than its factorization.

2430220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2430220013 is about 49297.2617190854. The cubic root of 2430220013 is about 1344.4619975288.

Adding to 2430220013 its reverse (3100220342), we get a palindrome (5530440355).

The spelling of 2430220013 in words is "two billion, four hundred thirty million, two hundred twenty thousand, thirteen".