240255647424 has 336 divisors, whose sum is σ = 772009449120. Its totient is φ = 73644318720.

The previous prime is 240255647383. The next prime is 240255647503. The reversal of 240255647424 is 424746552042.

240255647424 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 556 + 4 + 74 + 24 = 666.

It is a super-2 number, since 2×240255647424² (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 240255647424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56809342 + ... + 56813570.

It is an arithmetic number, because the mean of its divisors is an integer number (2297647170).

Almost surely, 2^240255647424 is an apocalyptic number.

240255647424 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 240255647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386004724560).

240255647424 is an abundant number, since it is smaller than the sum of its proper divisors (531753801696).

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

240255647424 is a wasteful number, since it uses less digits than its factorization.

240255647424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 240255647424 in words is "two hundred forty billion, two hundred fifty-five million, six hundred forty-seven thousand, four hundred twenty-four".