240244768224 has 72 divisors (see below), whose sum is σ = 683276794200. Its totient is φ = 80072126208.

The previous prime is 240244768217. The next prime is 240244768229. The reversal of 240244768224 is 422867442042.

240244768224 is a `hidden beast` number, since 240 + 244 + 76 + 82 + 24 = 666.

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

It is a super-2 number, since 2×240244768224² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240244768224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240244768229) 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, 2647899 + ... + 2737125.

It is an arithmetic number, because the mean of its divisors is an integer number (9489955475).

Almost surely, 2^240244768224 is an apocalyptic number.

240244768224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240244768224 is an abundant number, since it is smaller than the sum of its proper divisors (443032025976).

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

240244768224 is a wasteful number, since it uses less digits than its factorization.

240244768224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98592 (or 98581 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 240244768224 in words is "two hundred forty billion, two hundred forty-four million, seven hundred sixty-eight thousand, two hundred twenty-four".