2004130144 has 48 divisors (see below), whose sum is σ = 4133505600. Its totient is φ = 955229184.

The previous prime is 2004130133. The next prime is 2004130147. The reversal of 2004130144 is 4410314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004130147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59644 + ... + 86980.

It is an arithmetic number, because the mean of its divisors is an integer number (86114700).

Almost surely, 2^2004130144 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 2004130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066752800).

2004130144 is an abundant number, since it is smaller than the sum of its proper divisors (2129375456).

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

2004130144 is a wasteful number, since it uses less digits than its factorization.

2004130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27455 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2004130144 is about 44767.5121488787. The cubic root of 2004130144 is about 1260.7877294772.

Adding to 2004130144 its reverse (4410314002), we get a palindrome (6414444146).

The spelling of 2004130144 in words is "two billion, four million, one hundred thirty thousand, one hundred forty-four".