6000024240 has 320 divisors, whose sum is σ = 23868472320. Its totient is φ = 1356963840.

The previous prime is 6000024227. The next prime is 6000024259. The reversal of 6000024240 is 424200006.

6000024240 is a `hidden beast` number, since 600 + 0 + 0 + 24 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464595 + ... + 1468685.

It is an arithmetic number, because the mean of its divisors is an integer number (74588976).

Almost surely, 2^6000024240 is an apocalyptic number.

6000024240 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 6000024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934236160).

6000024240 is an abundant number, since it is smaller than the sum of its proper divisors (17868448080).

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

6000024240 is a wasteful number, since it uses less digits than its factorization.

6000024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6000024240 is about 77459.8233925175. The cubic root of 6000024240 is about 1817.1230398846.

Adding to 6000024240 its reverse (424200006), we get a palindrome (6424224246).

The spelling of 6000024240 in words is "six billion, twenty-four thousand, two hundred forty".