2135873844 has 144 divisors (see below), whose sum is σ = 6002527440. Its totient is φ = 636180480.

The previous prime is 2135873837. The next prime is 2135873849. The reversal of 2135873844 is 4483785312.

2135873844 is a `hidden beast` number, since 21 + 3 + 587 + 3 + 8 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1077152400 + 1058721444 = 32820^2 + 32538^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2135873844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135873849) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3012162 + ... + 3012870.

Almost surely, 2^2135873844 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 2135873844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001263720).

2135873844 is an abundant number, since it is smaller than the sum of its proper divisors (3866653596).

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

2135873844 is a wasteful number, since it uses less digits than its factorization.

2135873844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 925 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2135873844 is about 46215.5151870019. The cubic root of 2135873844 is about 1287.8299842781.

The spelling of 2135873844 in words is "two billion, one hundred thirty-five million, eight hundred seventy-three thousand, eight hundred forty-four".