2433358533342 has 96 divisors (see below), whose sum is σ = 5373303046272. Its totient is φ = 734638528800.

The previous prime is 2433358533337. The next prime is 2433358533349.

It is a happy number.

2433358533342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2433358533291 and 2433358533300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433358533349) 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 47 ways as a sum of consecutive naturals, for example, 267662217 + ... + 267671307.

It is an arithmetic number, because the mean of its divisors is an integer number (55971906732).

Almost surely, 2^{2433358533342} is an apocalyptic number.

2433358533342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2433358533342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686651523136).

2433358533342 is an abundant number, since it is smaller than the sum of its proper divisors (2939944512930).

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

2433358533342 is an frugal number, since it uses more digits than its factorization.

2433358533342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9384 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

The spelling of 2433358533342 in words is "two trillion, four hundred thirty-three billion, three hundred fifty-eight million, five hundred thirty-three thousand, three hundred forty-two".