6002052000 has 192 divisors, whose sum is σ = 22471997184. Its totient is φ = 1371878400.

The previous prime is 6002051981. The next prime is 6002052059. The reversal of 6002052000 is 2502006.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48274 + ... + 119726.

It is an arithmetic number, because the mean of its divisors is an integer number (117041652).

Almost surely, 2^6002052000 is an apocalyptic number.

6002052000 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 6002052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235998592).

6002052000 is an abundant number, since it is smaller than the sum of its proper divisors (16469945184).

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

6002052000 is a wasteful number, since it uses less digits than its factorization.

6002052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71488 (or 71470 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6002052000 is about 77472.9113948869. The cubic root of 6002052000 is about 1817.3277209689.

Adding to 6002052000 its reverse (2502006), we get a palindrome (6004554006).

The spelling of 6002052000 in words is "six billion, two million, fifty-two thousand", and thus it is an eban number.