2000004000002 has 18 divisors (see below), whose sum is σ = 3030309180027. Its totient is φ = 990000990000.

The previous prime is 2000003999993. The next prime is 2000004000041.

Added to its reverse (2000004000002) it gives a square (4000008000004 = 2000002²).

2000004000002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 5 ways, for example, as 1718298883921 + 281705116081 = 1310839^2 + 530759^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1000001.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 201995252 + ... + 202005152.

Almost surely, 2^{2000004000002} is an apocalyptic number.

2000004000002 is a deficient number, since it is larger than the sum of its proper divisors (1030305180025).

2000004000002 is an frugal number, since it uses more digits than its factorization.

2000004000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The spelling of 2000004000002 in words is "two trillion, four million, two", and thus it is an aban number and an eban number.