2162001144432 has 80 divisors (see below), whose sum is σ = 5681670635520. Its totient is φ = 708235872000.

The previous prime is 2162001144367. The next prime is 2162001144437. The reversal of 2162001144432 is 2344411002612.

It is a self number, because there is not a number n which added to its sum of digits gives 2162001144432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162001144437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3049369 + ... + 3690887.

It is an arithmetic number, because the mean of its divisors is an integer number (71020882944).

Almost surely, 2^{2162001144432} 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 2162001144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840835317760).

2162001144432 is an abundant number, since it is smaller than the sum of its proper divisors (3519669491088).

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

2162001144432 is a wasteful number, since it uses less digits than its factorization.

2162001144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642742 (or 642736 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 2162001144432 in words is "two trillion, one hundred sixty-two billion, one million, one hundred forty-four thousand, four hundred thirty-two".