2164131032436 has 36 divisors (see below), whose sum is σ = 5471012984164. Its totient is φ = 721301760000.

The previous prime is 2164131032419. The next prime is 2164131032443. The reversal of 2164131032436 is 6342301314612.

2164131032436 is a `hidden beast` number, since 2 + 1 + 64 + 131 + 0 + 32 + 436 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1839224192400 + 324906840036 = 1356180^2 + 570006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2164131032436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2785015 + ... + 3476286.

Almost surely, 2^{2164131032436} is an apocalyptic number.

It is an amenable number.

2164131032436 is an abundant number, since it is smaller than the sum of its proper divisors (3306881951728).

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

2164131032436 is a wasteful number, since it uses less digits than its factorization.

2164131032436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270912 (or 6270907 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2164131032436 in words is "two trillion, one hundred sixty-four billion, one hundred thirty-one million, thirty-two thousand, four hundred thirty-six".