2430044400342 has 16 divisors (see below), whose sum is σ = 5233941785520. Its totient is φ = 747705969312.

The previous prime is 2430044400323. The next prime is 2430044400353.

2430044400342 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15577207617 + ... + 15577207772.

It is an arithmetic number, because the mean of its divisors is an integer number (327121361595).

Almost surely, 2^{2430044400342} is an apocalyptic number.

2430044400342 is an abundant number, since it is smaller than the sum of its proper divisors (2803897385178).

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

2430044400342 is a wasteful number, since it uses less digits than its factorization.

2430044400342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31154415407.

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 2430044400342 in words is "two trillion, four hundred thirty billion, forty-four million, four hundred thousand, three hundred forty-two".