2004006004002 has 18 divisors (see below), whose sum is σ = 4342026021723. Its totient is φ = 667999999332.

The previous prime is 2004006004001. The next prime is 2004006004031.

Added to its reverse (2004006004002) it gives a square (4008012008004 = 2002002²).

2004006004002 is a `hidden beast` number, since 20 + 0 + 4 + 0 + 0 + 600 + 40 + 0 + 2 = 666.

2004006004002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1002003002001 + 1002003002001 = 1001001^2 + 1001001^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1001001.

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

It is not an unprimeable number, because it can be changed into a prime (2004006004001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5839173 + ... + 6172839.

Almost surely, 2^{2004006004002} is an apocalyptic number.

2004006004002 is an abundant number, since it is smaller than the sum of its proper divisors (2338020017721).

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

2004006004002 is an frugal number, since it uses more digits than its factorization.

2004006004002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667342 (or 333672 counting only the distinct ones).

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

Multiplying 2004006004002 by its sum of digits (18), we get a square (36072108072036 = 6006006²).

2004006004002 divided by its sum of digits (18) gives a square (111333666889 = 333667²).

The spelling of 2004006004002 in words is "two trillion, four billion, six million, four thousand, two", and thus it is an eban number.