240252424000 has 112 divisors (see below), whose sum is σ = 595282208976. Its totient is φ = 96052992000.

The previous prime is 240252423991. The next prime is 240252424001. The reversal of 240252424000 is 424252042.

It can be written as a sum of positive squares in 8 ways, for example, as 175051865664 + 65200558336 = 418392^2 + 255344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240252424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19041694 + ... + 19054306.

It is an arithmetic number, because the mean of its divisors is an integer number (5315019723).

Almost surely, 2^240252424000 is an apocalyptic number.

240252424000 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 240252424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297641104488).

240252424000 is an abundant number, since it is smaller than the sum of its proper divisors (355029784976).

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

240252424000 is a wasteful number, since it uses less digits than its factorization.

240252424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021 (or 15001 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 240252424000 its reverse (424252042), we get a palindrome (240676676042).

The spelling of 240252424000 in words is "two hundred forty billion, two hundred fifty-two million, four hundred twenty-four thousand".