2002980681289 has 45 divisors (see below), whose sum is σ = 2483670248007. Its totient is φ = 1614898901952.

The previous prime is 2002980681269. The next prime is 2002980681307. The reversal of 2002980681289 is 9821860892002.

The square root of 2002980681289 is 1415267.

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., 1559414025225 + 443566656064 = 1248765^2 + 666008^2 .

It is not a de Polignac number, because 2002980681289 - 2²⁵ = 2002947126857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002980681269) 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 44 ways as a sum of consecutive naturals, for example, 1178916562 + ... + 1178918260.

Almost surely, 2^{2002980681289} is an apocalyptic number.

2002980681289 is the 1415267-th square number.

2002980681289 is the 707634-th centered octagonal number.

It is an amenable number.

2002980681289 is a deficient number, since it is larger than the sum of its proper divisors (480689566718).

2002980681289 is an frugal number, since it uses more digits than its factorization.

2002980681289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 2002980681289 in words is "two trillion, two billion, nine hundred eighty million, six hundred eighty-one thousand, two hundred eighty-nine".