2072963568841 has 45 divisors (see below), whose sum is σ = 2326180415895. Its totient is φ = 1847294048160.

The previous prime is 2072963568839. The next prime is 2072963568937. The reversal of 2072963568841 is 1488653692702.

The square root of 2072963568841 is 1439779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1176715105225 + 896248463616 = 1084765^2 + 946704^2 .

It is not a de Polignac number, because 2072963568841 - 2¹ = 2072963568839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2072963568841.

It is not an unprimeable number, because it can be changed into a prime (2072963568821) 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 44 ways as a sum of consecutive naturals, for example, 12717567826 + ... + 12717567988.

It is an arithmetic number, because the mean of its divisors is an integer number (51692898131).

It is a 1-persistent number, because it is pandigital, but 2⋅2072963568841 = 4145927137682 is not.

Almost surely, 2^{2072963568841} is an apocalyptic number.

2072963568841 is the 1439779-th square number.

2072963568841 is the 719890-th centered octagonal number.

It is an amenable number.

2072963568841 is a deficient number, since it is larger than the sum of its proper divisors (253216847054).

2072963568841 is an frugal number, since it uses more digits than its factorization.

2072963568841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 2072963568841 in words is "two trillion, seventy-two billion, nine hundred sixty-three million, five hundred sixty-eight thousand, eight hundred forty-one".