6002004000 has 96 divisors (see below), whose sum is σ = 19662604416. Its totient is φ = 1600531200.

The previous prime is 6002003977. The next prime is 6002004007. The reversal of 6002004000 is 4002006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (6002004007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238084 + ... + 262083.

It is an arithmetic number, because the mean of its divisors is an integer number (204818796).

Almost surely, 2^6002004000 is an apocalyptic number.

6002004000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002004000 is an abundant number, since it is smaller than the sum of its proper divisors (13660600416).

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

6002004000 is a wasteful number, since it uses less digits than its factorization.

6002004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500195 (or 500177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6002004000 is about 77472.6016085687. The cubic root of 6002004000 is about 1817.3228764056.

Adding to 6002004000 its reverse (4002006), we get a palindrome (6006006006).

The spelling of 6002004000 in words is "six billion, two million, four thousand", and thus it is an eban number.