2433456543342 has 384 divisors, whose sum is σ = 5805774817920. Its totient is φ = 678053376000.

The previous prime is 2433456543337. The next prime is 2433456543389.

2433456543342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2433456543291 and 2433456543300.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 12352571188 + ... + 12352571384.

It is an arithmetic number, because the mean of its divisors is an integer number (15119205255).

Almost surely, 2^{2433456543342} is an apocalyptic number.

2433456543342 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 2433456543342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902887408960).

2433456543342 is an abundant number, since it is smaller than the sum of its proper divisors (3372318274578).

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

2433456543342 is a wasteful number, since it uses less digits than its factorization.

2433456543342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 48.

The spelling of 2433456543342 in words is "two trillion, four hundred thirty-three billion, four hundred fifty-six million, five hundred forty-three thousand, three hundred forty-two".