2824139676342 has 64 divisors (see below), whose sum is σ = 5939645644800. Its totient is φ = 894094100640.

The previous prime is 2824139676269. The next prime is 2824139676343. The reversal of 2824139676342 is 2436769314282.

It is a happy number.

It is a super-2 number, since 2×2824139676342² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824139676343) 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 31 ways as a sum of consecutive naturals, for example, 1878459 + ... + 3029337.

It is an arithmetic number, because the mean of its divisors is an integer number (92806963200).

Almost surely, 2^{2824139676342} is an apocalyptic number.

2824139676342 is an abundant number, since it is smaller than the sum of its proper divisors (3115505968458).

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

2824139676342 is a wasteful number, since it uses less digits than its factorization.

2824139676342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151161.

The product of its digits is 20901888, while the sum is 57.

The spelling of 2824139676342 in words is "two trillion, eight hundred twenty-four billion, one hundred thirty-nine million, six hundred seventy-six thousand, three hundred forty-two".