6002613120 has 256 divisors, whose sum is σ = 22134228480. Its totient is φ = 1355243520.

The previous prime is 6002613059. The next prime is 6002613161. The reversal of 6002613120 is 213162006.

It is a happy number.

It is a super-2 number, since 2×6002613120² = 72062728536792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1112830 + ... + 1118210.

It is an arithmetic number, because the mean of its divisors is an integer number (86461830).

Almost surely, 2^6002613120 is an apocalyptic number.

6002613120 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 6002613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067114240).

6002613120 is an abundant number, since it is smaller than the sum of its proper divisors (16131615360).

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

6002613120 is a wasteful number, since it uses less digits than its factorization.

6002613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6002613120 is about 77476.5327050714. The cubic root of 6002613120 is about 1817.3843519986.

Adding to 6002613120 its reverse (213162006), we get a palindrome (6215775126).

The spelling of 6002613120 in words is "six billion, two million, six hundred thirteen thousand, one hundred twenty".