2003864382 has 96 divisors (see below), whose sum is σ = 4791661056. Its totient is φ = 601473600.

The previous prime is 2003864353. The next prime is 2003864383. The reversal of 2003864382 is 2834683002.

2003864382 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 8 + 643 + 8 + 2 = 666.

It is a super-2 number, since 2×2003864382² = 8030944922896483848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003864383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710657 + ... + 1711827.

It is an arithmetic number, because the mean of its divisors is an integer number (49913136).

Almost surely, 2^2003864382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003864382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395830528).

2003864382 is an abundant number, since it is smaller than the sum of its proper divisors (2787796674).

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

2003864382 is a wasteful number, since it uses less digits than its factorization.

2003864382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2003864382 is about 44764.5438042208. The cubic root of 2003864382 is about 1260.7319971883.

The spelling of 2003864382 in words is "two billion, three million, eight hundred sixty-four thousand, three hundred eighty-two".