2041242416334 has 192 divisors, whose sum is σ = 5098231756800. Its totient is φ = 583753262400.

The previous prime is 2041242416333. The next prime is 2041242416351. The reversal of 2041242416334 is 4336142421402.

2041242416334 is a `hidden beast` number, since 2 + 0 + 4 + 12 + 4 + 2 + 4 + 1 + 633 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041242416333) 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 95 ways as a sum of consecutive naturals, for example, 1621319797 + ... + 1621321055.

It is an arithmetic number, because the mean of its divisors is an integer number (26553290400).

Almost surely, 2^{2041242416334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041242416334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549115878400).

2041242416334 is an abundant number, since it is smaller than the sum of its proper divisors (3056989340466).

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

2041242416334 is a wasteful number, since it uses less digits than its factorization.

2041242416334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 2041242416334 its reverse (4336142421402), we get a palindrome (6377384837736).

The spelling of 2041242416334 in words is "two trillion, forty-one billion, two hundred forty-two million, four hundred sixteen thousand, three hundred thirty-four".