2008721971337 has 8 divisors (see below), whose sum is σ = 2128444846632. Its totient is φ = 1889172736000.

The previous prime is 2008721971327. The next prime is 2008721971397. The reversal of 2008721971337 is 7331791278002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 263419403536 + 1745302567801 = 513244^2 + 1321099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2008721971337 - 2¹⁰ = 2008721970313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2008721971327) 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 7 ways as a sum of consecutive naturals, for example, 43386164 + ... + 43432437.

It is an arithmetic number, because the mean of its divisors is an integer number (266055605829).

Almost surely, 2^{2008721971337} is an apocalyptic number.

It is an amenable number.

2008721971337 is a deficient number, since it is larger than the sum of its proper divisors (119722875295).

2008721971337 is a wasteful number, since it uses less digits than its factorization.

2008721971337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86819979.

The product of its (nonzero) digits is 889056, while the sum is 50.

The spelling of 2008721971337 in words is "two trillion, eight billion, seven hundred twenty-one million, nine hundred seventy-one thousand, three hundred thirty-seven".