2672116584921 has 165 divisors, whose sum is σ = 4817962435605. Its totient is φ = 1477668157560.

The previous prime is 2672116584901. The next prime is 2672116584947. The reversal of 2672116584921 is 1294856112762.

The square root of 2672116584921 is 1634661.

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

2672116584921 is a `hidden beast` number, since 2 + 6 + 7 + 21 + 16 + 584 + 9 + 21 = 666.

It is not a de Polignac number, because 2672116584921 - 2⁵ = 2672116584889 is a prime.

Its product of digits (2903040) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (2672116584901) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 86197309176 + ... + 86197309206.

It is an arithmetic number, because the mean of its divisors is an integer number (29199772337).

Almost surely, 2^{2672116584921} is an apocalyptic number.

2672116584921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2672116584921 is the 1634661-st square number.

2672116584921 is the 817331-st centered octagonal number.

It is an amenable number.

2672116584921 is a deficient number, since it is larger than the sum of its proper divisors (2145845850684).

2672116584921 is an frugal number, since it uses more digits than its factorization.

2672116584921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 41 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 2672116584921 in words is "two trillion, six hundred seventy-two billion, one hundred sixteen million, five hundred eighty-four thousand, nine hundred twenty-one".