2133165608 has 48 divisors (see below), whose sum is σ = 4729022100. Its totient is φ = 899216640.

The previous prime is 2133165607. The next prime is 2133165719. The reversal of 2133165608 is 8065613312.

It can be written as a sum of positive squares in 2 ways, for example, as 1772241604 + 360924004 = 42098^2 + 18998^2 .

It is a super-3 number, since 3×2133165608³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2133165607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20693 + ... + 68516.

Almost surely, 2^2133165608 is an apocalyptic number.

2133165608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2133165608 is an abundant number, since it is smaller than the sum of its proper divisors (2595856492).

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

2133165608 is a wasteful number, since it uses less digits than its factorization.

2133165608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89290 (or 89279 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2133165608 is about 46186.2058194868. The cubic root of 2133165608 is about 1287.2854417090.

The spelling of 2133165608 in words is "two billion, one hundred thirty-three million, one hundred sixty-five thousand, six hundred eight".