2002763306705 has 24 divisors (see below), whose sum is σ = 2796085536768. Its totient is φ = 1373131118688.

The previous prime is 2002763306701. The next prime is 2002763306723. The reversal of 2002763306705 is 5076033672002.

It is not a de Polignac number, because 2002763306705 - 2² = 2002763306701 is a prime.

It is a super-2 number, since 2×2002763306705² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002763306701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192112 + ... + 2329518.

It is an arithmetic number, because the mean of its divisors is an integer number (116503564032).

Almost surely, 2^{2002763306705} is an apocalyptic number.

It is an amenable number.

2002763306705 is a deficient number, since it is larger than the sum of its proper divisors (793322230063).

2002763306705 is a wasteful number, since it uses less digits than its factorization.

2002763306705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144613 (or 1144606 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

Adding to 2002763306705 its reverse (5076033672002), we get a palindrome (7078796978707).

The spelling of 2002763306705 in words is "two trillion, two billion, seven hundred sixty-three million, three hundred six thousand, seven hundred five".