2003006003002 has 16 divisors (see below), whose sum is σ = 3015630656424. Its totient is φ = 997796800000.

The previous prime is 2003006002999. The next prime is 2003006003059.

2003006003002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1480263988921 + 522742014081 = 1216661^2 + 723009^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3751752 + ... + 4252252.

Almost surely, 2^{2003006003002} is an apocalyptic number.

2003006003002 is a deficient number, since it is larger than the sum of its proper divisors (1012624653422).

2003006003002 is a wasteful number, since it uses less digits than its factorization.

2003006003002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507905.

The product of its (nonzero) digits is 216, while the sum is 16.

The spelling of 2003006003002 in words is "two trillion, three billion, six million, three thousand, two".