240248644272 has 640 divisors, whose sum is σ = 897542553600. Its totient is φ = 59750286336.

The previous prime is 240248644231. The next prime is 240248644357. The reversal of 240248644272 is 272446842042.

240248644272 is a `hidden beast` number, since 2 + 40 + 24 + 86 + 442 + 72 = 666.

240248644272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240248644272² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196441453 + ... + 196442675.

It is an arithmetic number, because the mean of its divisors is an integer number (1402410240).

Almost surely, 2^240248644272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240248644272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448771276800).

240248644272 is an abundant number, since it is smaller than the sum of its proper divisors (657293909328).

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

240248644272 is a wasteful number, since it uses less digits than its factorization.

240248644272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1530 counting only the distinct ones).

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

The spelling of 240248644272 in words is "two hundred forty billion, two hundred forty-eight million, six hundred forty-four thousand, two hundred seventy-two".