2024313507342 has 180 divisors, whose sum is σ = 5515927118856. Its totient is φ = 553227388560.

The previous prime is 2024313507317. The next prime is 2024313507353. The reversal of 2024313507342 is 2437053134202.

2024313507342 is a `hidden beast` number, since 20 + 243 + 1 + 3 + 50 + 7 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2024313507297 and 2024313507306.

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 3958167 + ... + 4440237.

Almost surely, 2^{2024313507342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024313507342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757963559428).

2024313507342 is an abundant number, since it is smaller than the sum of its proper divisors (3491613611514).

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

2024313507342 is a wasteful number, since it uses less digits than its factorization.

2024313507342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482145 (or 482106 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2024313507342 in words is "two trillion, twenty-four billion, three hundred thirteen million, five hundred seven thousand, three hundred forty-two".