2004142784 has 112 divisors (see below), whose sum is σ = 4874849280. Its totient is φ = 797921280.

The previous prime is 2004142717. The next prime is 2004142807. The reversal of 2004142784 is 4872414002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2004142784.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599999 + ... + 603329.

It is an arithmetic number, because the mean of its divisors is an integer number (43525440).

Almost surely, 2^2004142784 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 2004142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437424640).

2004142784 is an abundant number, since it is smaller than the sum of its proper divisors (2870706496).

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

2004142784 is a wasteful number, since it uses less digits than its factorization.

2004142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2004142784 is about 44767.6533224604. The cubic root of 2004142784 is about 1260.7903800575.

Adding to 2004142784 its reverse (4872414002), we get a palindrome (6876556786).

The spelling of 2004142784 in words is "two billion, four million, one hundred forty-two thousand, seven hundred eighty-four".