2005038504 has 96 divisors (see below), whose sum is σ = 6224400000. Its totient is φ = 571176576.

The previous prime is 2005038499. The next prime is 2005038527. The reversal of 2005038504 is 4058305002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170197 + ... + 181595.

It is an arithmetic number, because the mean of its divisors is an integer number (64837500).

Almost surely, 2^2005038504 is an apocalyptic number.

2005038504 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 2005038504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200000).

2005038504 is an abundant number, since it is smaller than the sum of its proper divisors (4219361496).

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

2005038504 is a wasteful number, since it uses less digits than its factorization.

2005038504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2005038504 is about 44777.6563031162. The cubic root of 2005038504 is about 1260.9781822053.

The spelling of 2005038504 in words is "two billion, five million, thirty-eight thousand, five hundred four".