2002685967 has 12 divisors (see below), whose sum is σ = 2898327744. Its totient is φ = 1332558240.

The previous prime is 2002685957. The next prime is 2002685989. The reversal of 2002685967 is 7695862002.

It is not a de Polignac number, because 2002685967 - 2¹⁴ = 2002669583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002685947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208863 + ... + 218240.

It is an arithmetic number, because the mean of its divisors is an integer number (241527312).

Almost surely, 2^2002685967 is an apocalyptic number.

2002685967 is a deficient number, since it is larger than the sum of its proper divisors (895641777).

2002685967 is a wasteful number, since it uses less digits than its factorization.

2002685967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427630 (or 427627 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2002685967 is about 44751.3794982903. The cubic root of 2002685967 is about 1260.4848153214.

The spelling of 2002685967 in words is "two billion, two million, six hundred eighty-five thousand, nine hundred sixty-seven".