240053025024 has 216 divisors, whose sum is σ = 700374572352. Its totient is φ = 79068057600.

The previous prime is 240053025011. The next prime is 240053025029. The reversal of 240053025024 is 420520350042.

It is a happy number.

240053025024 is a `hidden beast` number, since 2 + 400 + 5 + 3 + 0 + 250 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (240053025029) 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 23 ways as a sum of consecutive naturals, for example, 206407867 + ... + 206409029.

It is an arithmetic number, because the mean of its divisors is an integer number (3242474872).

Almost surely, 2^240053025024 is an apocalyptic number.

240053025024 is a gapful number since it is divisible by the number (24) 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 240053025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350187286176).

240053025024 is an abundant number, since it is smaller than the sum of its proper divisors (460321547328).

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

240053025024 is a wasteful number, since it uses less digits than its factorization.

240053025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 240053025024 its reverse (420520350042), we get a palindrome (660573375066).

The spelling of 240053025024 in words is "two hundred forty billion, fifty-three million, twenty-five thousand, twenty-four".