2003682000 has 160 divisors (see below), whose sum is σ = 6522332544. Its totient is φ = 529152000.

The previous prime is 2003681959. The next prime is 2003682017. The reversal of 2003682000 is 2863002.

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 31 ways as a sum of consecutive naturals, for example, 640440 + ... + 643560.

Almost surely, 2^2003682000 is an apocalyptic number.

2003682000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261166272).

2003682000 is an abundant number, since it is smaller than the sum of its proper divisors (4518650544).

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

2003682000 is a wasteful number, since it uses less digits than its factorization.

2003682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2003682000 is about 44762.5066322251. The cubic root of 2003682000 is about 1260.6937474609.

The spelling of 2003682000 in words is "two billion, three million, six hundred eighty-two thousand".