2135355661824 has 1920 divisors, whose sum is σ = 8168391475200. Its totient is φ = 487710720000.

The previous prime is 2135355661819. The next prime is 2135355661909. The reversal of 2135355661824 is 4281665535312.

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, 14141428149 + ... + 14141428299.

It is an arithmetic number, because the mean of its divisors is an integer number (4254370560).

Almost surely, 2^{2135355661824} is an apocalyptic number.

2135355661824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135355661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084195737600).

2135355661824 is an abundant number, since it is smaller than the sum of its proper divisors (6033035813376).

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

2135355661824 is a wasteful number, since it uses less digits than its factorization.

2135355661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 2135355661824 in words is "two trillion, one hundred thirty-five billion, three hundred fifty-five million, six hundred sixty-one thousand, eight hundred twenty-four".