2135057340416 has 288 divisors, whose sum is σ = 5834295689040. Its totient is φ = 767847628800.

The previous prime is 2135057340407. The next prime is 2135057340421. The reversal of 2135057340416 is 6140437505312.

It is a super-3 number, since 3×2135057340416³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14275946 + ... + 14424726.

Almost surely, 2^{2135057340416} is an apocalyptic number.

2135057340416 is a gapful number since it is divisible by the number (26) 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 2135057340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917147844520).

2135057340416 is an abundant number, since it is smaller than the sum of its proper divisors (3699238348624).

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

2135057340416 is a wasteful number, since it uses less digits than its factorization.

2135057340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148841 (or 148814 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 2135057340416 in words is "two trillion, one hundred thirty-five billion, fifty-seven million, three hundred forty thousand, four hundred sixteen".