2008884504 has 128 divisors (see below), whose sum is σ = 5581612800. Its totient is φ = 597442560.

The previous prime is 2008884463. The next prime is 2008884511. The reversal of 2008884504 is 4054888002.

It is a super-2 number, since 2×2008884504² = 8071233900822652032, which contains 22 as substring.

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, 4534507 + ... + 4534949.

It is an arithmetic number, because the mean of its divisors is an integer number (43606350).

Almost surely, 2^2008884504 is an apocalyptic number.

2008884504 is a gapful number since it is divisible by the number (24) 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 2008884504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790806400).

2008884504 is an abundant number, since it is smaller than the sum of its proper divisors (3572728296).

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

2008884504 is a wasteful number, since it uses less digits than its factorization.

2008884504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2008884504 is about 44820.5812545978. The cubic root of 2008884504 is about 1261.7839230957.

The spelling of 2008884504 in words is "two billion, eight million, eight hundred eighty-four thousand, five hundred four".