6002040000 has 280 divisors, whose sum is σ = 21652918848. Its totient is φ = 1454720000.

The previous prime is 6002039993. The next prime is 6002040041. The reversal of 6002040000 is 402006.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1317727 + ... + 1322273.

Almost surely, 2^6002040000 is an apocalyptic number.

6002040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826459424).

6002040000 is an abundant number, since it is smaller than the sum of its proper divisors (15650878848).

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

6002040000 is a wasteful number, since it uses less digits than its factorization.

6002040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4568 counting only the distinct ones).

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

The square root of 6002040000 is about 77472.8339484235. The cubic root of 6002040000 is about 1817.3265098305.

Adding to 6002040000 its reverse (402006), we get a palindrome (6002442006).

The spelling of 6002040000 in words is "six billion, two million, forty thousand", and thus it is an eban number.