2135435808 has 96 divisors (see below), whose sum is σ = 6172588800. Its totient is φ = 641020160.

The previous prime is 2135435801. The next prime is 2135435833. The reversal of 2135435808 is 8085345312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2135435808² = 9120172180177225728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135435801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103543 + ... + 122441.

It is an arithmetic number, because the mean of its divisors is an integer number (64297800).

Almost surely, 2^2135435808 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 2135435808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086294400).

2135435808 is an abundant number, since it is smaller than the sum of its proper divisors (4037152992).

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

2135435808 is a wasteful number, since it uses less digits than its factorization.

2135435808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19030 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2135435808 is about 46210.7758861502. The cubic root of 2135435808 is about 1287.7419399920.

The spelling of 2135435808 in words is "two billion, one hundred thirty-five million, four hundred thirty-five thousand, eight hundred eight".