2424004004242 has 32 divisors (see below), whose sum is σ = 3842318041920. Its totient is φ = 1143732441600.

The previous prime is 2424004004239. The next prime is 2424004004351.

2424004004242 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2424004004242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30081718 + ... + 30162190.

It is an arithmetic number, because the mean of its divisors is an integer number (120072438810).

Almost surely, 2^{2424004004242} is an apocalyptic number.

2424004004242 is a deficient number, since it is larger than the sum of its proper divisors (1418314037678).

2424004004242 is a wasteful number, since it uses less digits than its factorization.

2424004004242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83578.

The product of its (nonzero) digits is 16384, while the sum is 28.

The spelling of 2424004004242 in words is "two trillion, four hundred twenty-four billion, four million, four thousand, two hundred forty-two".