2004004004002 has 216 divisors, whose sum is σ = 4203605337876. Its totient is φ = 713512800000.

The previous prime is 2004004003979. The next prime is 2004004004017.

2004004004002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 1381938962481 + 622065041521 = 1175559^2 + 788711^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 202399252 + ... + 202409152.

Almost surely, 2^{2004004004002} is an apocalyptic number.

2004004004002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2004004004002 is an abundant number, since it is smaller than the sum of its proper divisors (2199601333874).

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

2004004004002 is a wasteful number, since it uses less digits than its factorization.

2004004004002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The spelling of 2004004004002 in words is "two trillion, four billion, four million, four thousand, two", and thus it is an eban number.