2002584892 has 48 divisors (see below), whose sum is σ = 4487390208. Its totient is φ = 759136320.

The previous prime is 2002584889. The next prime is 2002584917. The reversal of 2002584892 is 2984852002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76468 + ... + 99259.

It is an arithmetic number, because the mean of its divisors is an integer number (93487296).

Almost surely, 2^2002584892 is an apocalyptic number.

2002584892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002584892 is an abundant number, since it is smaller than the sum of its proper divisors (2484805316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002584892 is a wasteful number, since it uses less digits than its factorization.

2002584892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175786 (or 175784 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 2002584892 is about 44750.2501892448. The cubic root of 2002584892 is about 1260.4636095260.

The spelling of 2002584892 in words is "two billion, two million, five hundred eighty-four thousand, eight hundred ninety-two".