2000003000004 has 72 divisors (see below), whose sum is σ = 5069349289368. Its totient is φ = 664850419200.

The previous prime is 2000003000003. The next prime is 2000003000027. The reversal of 2000003000004 is 4000003000002.

It can be written as a sum of positive squares in 4 ways, for example, as 322796695104 + 1677206304900 = 568152^2 + 1295070^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 2000003000004.

It is not an unprimeable number, because it can be changed into a prime (2000003000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87184024 + ... + 87206960.

It is an arithmetic number, because the mean of its divisors is an integer number (70407629019).

Almost surely, 2^{2000003000004} is an apocalyptic number.

It is an amenable number.

2000003000004 is an abundant number, since it is smaller than the sum of its proper divisors (3069346289364).

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

2000003000004 is a wasteful number, since it uses less digits than its factorization.

2000003000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29445 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 2000003000004 its reverse (4000003000002), we get a palindrome (6000006000006).

The spelling of 2000003000004 in words is "two trillion, three million, four", and thus it is an aban number.