2430106103319 has 64 divisors (see below), whose sum is σ = 3373572753408. Its totient is φ = 1554976051200.

The previous prime is 2430106103311. The next prime is 2430106103333. The reversal of 2430106103319 is 9133016010342.

It is a happy number.

It is not a de Polignac number, because 2430106103319 - 2³ = 2430106103311 is a prime.

It is a super-2 number, since 2×2430106103319² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2430106103319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430106103311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1839595179 + ... + 1839596499.

It is an arithmetic number, because the mean of its divisors is an integer number (52712074272).

Almost surely, 2^{2430106103319} is an apocalyptic number.

2430106103319 is a deficient number, since it is larger than the sum of its proper divisors (943466650089).

2430106103319 is a wasteful number, since it uses less digits than its factorization.

2430106103319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328.

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 2430106103319 in words is "two trillion, four hundred thirty billion, one hundred six million, one hundred three thousand, three hundred nineteen".