6240240000 has 560 divisors, whose sum is σ = 23509052820. Its totient is φ = 1648512000.

The previous prime is 6240239911. The next prime is 6240240011. The reversal of 6240240000 is 420426.

6240240000 is a `hidden beast` number, since 624 + 0 + 2 + 40 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58319947 + ... + 58320053.

Almost surely, 2^6240240000 is an apocalyptic number.

6240240000 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 6240240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754526410).

6240240000 is an abundant number, since it is smaller than the sum of its proper divisors (17268812820).

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

6240240000 is an frugal number, since it uses more digits than its factorization.

6240240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

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

The square root of 6240240000 is about 78995.1897269701. The cubic root of 6240240000 is about 1841.0564191854.

Adding to 6240240000 its reverse (420426), we get a palindrome (6240660426).

The spelling of 6240240000 in words is "six billion, two hundred forty million, two hundred forty thousand".