2133675936 has 144 divisors (see below), whose sum is σ = 7158348288. Its totient is φ = 589939200.

The previous prime is 2133675931. The next prime is 2133675991. The reversal of 2133675936 is 6395763312.

2133675936 is a `hidden beast` number, since 21 + 3 + 36 + 7 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2133675891 and 2133675900.

It is not an unprimeable number, because it can be changed into a prime (2133675931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45426 + ... + 79566.

It is an arithmetic number, because the mean of its divisors is an integer number (49710752).

Almost surely, 2^2133675936 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 2133675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579174144).

2133675936 is an abundant number, since it is smaller than the sum of its proper divisors (5024672352).

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

2133675936 is a wasteful number, since it uses less digits than its factorization.

2133675936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34195 (or 34184 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 2133675936 is about 46191.7301689382. The cubic root of 2133675936 is about 1287.3880881267.

The spelling of 2133675936 in words is "two billion, one hundred thirty-three million, six hundred seventy-five thousand, nine hundred thirty-six".