2004134004 has 72 divisors (see below), whose sum is σ = 5253527552. Its totient is φ = 643515840.

The previous prime is 2004133939. The next prime is 2004134009. The reversal of 2004134004 is 4004314002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004134009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 244842 + ... + 252894.

Almost surely, 2^2004134004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626763776).

2004134004 is an abundant number, since it is smaller than the sum of its proper divisors (3249393548).

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

2004134004 is a wasteful number, since it uses less digits than its factorization.

2004134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004134004 is about 44767.5552604785. Note that the first 3 decimals coincide. The cubic root of 2004134004 is about 1260.7885389119.

Adding to 2004134004 its reverse (4004314002), we get a palindrome (6008448006).

It can be divided in two parts, 20041 and 34004, that added together give a palindrome (54045).

The spelling of 2004134004 in words is "two billion, four million, one hundred thirty-four thousand, four".