240024420000 has 360 divisors, whose sum is σ = 854455361760. Its totient is φ = 63892800000.

The previous prime is 240024419983. The next prime is 240024420007. The reversal of 240024420000 is 24420042.

240024420000 is a `hidden beast` number, since 2 + 400 + 244 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×240024420000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240024420007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 165419275 + ... + 165420725.

It is an arithmetic number, because the mean of its divisors is an integer number (2373487116).

Almost surely, 2^240024420000 is an apocalyptic number.

240024420000 is a gapful number since it is divisible by the number (20) 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 240024420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427227680880).

240024420000 is an abundant number, since it is smaller than the sum of its proper divisors (614430941760).

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

240024420000 is a wasteful number, since it uses less digits than its factorization.

240024420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 240024420000 its reverse (24420042), we get a palindrome (240048840042).

The spelling of 240024420000 in words is "two hundred forty billion, twenty-four million, four hundred twenty thousand".