2535334335352 has 384 divisors, whose sum is σ = 6357483417600. Its totient is φ = 937512576000.

The previous prime is 2535334335349. The next prime is 2535334335353.

2535334335352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535334335353) 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, 935201277 + ... + 935203987.

It is an arithmetic number, because the mean of its divisors is an integer number (16555946400).

Almost surely, 2^{2535334335352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535334335352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178741708800).

2535334335352 is an abundant number, since it is smaller than the sum of its proper divisors (3822149082248).

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

2535334335352 is a wasteful number, since it uses less digits than its factorization.

2535334335352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2936 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 46.

The spelling of 2535334335352 in words is "two trillion, five hundred thirty-five billion, three hundred thirty-four million, three hundred thirty-five thousand, three hundred fifty-two".