240568224800 has 54 divisors (see below), whose sum is σ = 587321047719. Its totient is φ = 96221740800.

The previous prime is 240568224791. The next prime is 240568224817. The reversal of 240568224800 is 8422865042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 192731536144 + 47836688656 = 439012^2 + 218716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=346820.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13864130 + ... + 13881470.

Almost surely, 2^240568224800 is an apocalyptic number.

240568224800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240568224800 is an abundant number, since it is smaller than the sum of its proper divisors (346752822919).

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

240568224800 is an frugal number, since it uses more digits than its factorization.

240568224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34702 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 240568224800 in words is "two hundred forty billion, five hundred sixty-eight million, two hundred twenty-four thousand, eight hundred".