240235264224 has 72 divisors (see below), whose sum is σ = 712872053712. Its totient is φ = 76596748800.

The previous prime is 240235264211. The next prime is 240235264229. The reversal of 240235264224 is 422462532042.

240235264224 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 3 + 5 + 2 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240235264229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18127077 + ... + 18140324.

It is an arithmetic number, because the mean of its divisors is an integer number (9901000746).

Almost surely, 2^240235264224 is an apocalyptic number.

240235264224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240235264224 is an abundant number, since it is smaller than the sum of its proper divisors (472636789488).

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

240235264224 is a wasteful number, since it uses less digits than its factorization.

240235264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36267440 (or 36267429 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 240235264224 its reverse (422462532042), we get a palindrome (662697796266).

The spelling of 240235264224 in words is "two hundred forty billion, two hundred thirty-five million, two hundred sixty-four thousand, two hundred twenty-four".