2002680585 has 32 divisors (see below), whose sum is σ = 3613476480. Its totient is φ = 1052149824.

The previous prime is 2002680583. The next prime is 2002680607. The reversal of 2002680585 is 5850862002.

It is not a de Polignac number, because 2002680585 - 2¹ = 2002680583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002680583) 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 31 ways as a sum of consecutive naturals, for example, 101662 + ... + 119751.

It is an arithmetic number, because the mean of its divisors is an integer number (112921140).

Almost surely, 2^2002680585 is an apocalyptic number.

It is an amenable number.

2002680585 is a deficient number, since it is larger than the sum of its proper divisors (1610795895).

2002680585 is a wasteful number, since it uses less digits than its factorization.

2002680585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221494 (or 221488 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2002680585 is about 44751.3193660254. The cubic root of 2002680585 is about 1260.4836861819.

The spelling of 2002680585 in words is "two billion, two million, six hundred eighty thousand, five hundred eighty-five".