2024834384202 has 96 divisors (see below), whose sum is σ = 4934353324032. Its totient is φ = 551266331616.

The previous prime is 2024834384197. The next prime is 2024834384219.

2024834384202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1209123 + ... + 2347689.

It is an arithmetic number, because the mean of its divisors is an integer number (51399513792).

Almost surely, 2^{2024834384202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024834384202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467176662016).

2024834384202 is an abundant number, since it is smaller than the sum of its proper divisors (2909518939830).

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

2024834384202 is a wasteful number, since it uses less digits than its factorization.

2024834384202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138872 (or 1138865 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 2024834384202 in words is "two trillion, twenty-four billion, eight hundred thirty-four million, three hundred eighty-four thousand, two hundred two".