2435436345342 has 576 divisors, whose sum is σ = 7071153126912. Its totient is φ = 552758976000.

The previous prime is 2435436345323. The next prime is 2435436345367.

2435436345342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2435436345342³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2435436345291 and 2435436345300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1074298093 + ... + 1074300359.

It is an arithmetic number, because the mean of its divisors is an integer number (12276307512).

Almost surely, 2^{2435436345342} is an apocalyptic number.

2435436345342 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 2435436345342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535576563456).

2435436345342 is an abundant number, since it is smaller than the sum of its proper divisors (4635716781570).

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

2435436345342 is a wasteful number, since it uses less digits than its factorization.

2435436345342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2427 counting only the distinct ones).

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

The spelling of 2435436345342 in words is "two trillion, four hundred thirty-five billion, four hundred thirty-six million, three hundred forty-five thousand, three hundred forty-two".