6003135240 has 128 divisors (see below), whose sum is σ = 18817920000. Its totient is φ = 1529158400.

The previous prime is 6003135221. The next prime is 6003135269. The reversal of 6003135240 is 425313006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6003135240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4004011 + ... + 4005509.

It is an arithmetic number, because the mean of its divisors is an integer number (147015000).

Almost surely, 2^6003135240 is an apocalyptic number.

6003135240 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 6003135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408960000).

6003135240 is an abundant number, since it is smaller than the sum of its proper divisors (12814784760).

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

6003135240 is a wasteful number, since it uses less digits than its factorization.

6003135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6003135240 is about 77479.9021682397. The cubic root of 6003135240 is about 1817.4370437840.

Adding to 6003135240 its reverse (425313006), we get a palindrome (6428448246).

The spelling of 6003135240 in words is "six billion, three million, one hundred thirty-five thousand, two hundred forty".