240536080224 has 768 divisors, whose sum is σ = 842215449600. Its totient is φ = 65990246400.

The previous prime is 240536080219. The next prime is 240536080297. The reversal of 240536080224 is 422080635042.

240536080224 is a `hidden beast` number, since 2 + 40 + 5 + 3 + 608 + 0 + 2 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392391342 + ... + 392391954.

It is an arithmetic number, because the mean of its divisors is an integer number (1096634700).

Almost surely, 2^240536080224 is an apocalyptic number.

240536080224 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 240536080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421107724800).

240536080224 is an abundant number, since it is smaller than the sum of its proper divisors (601679369376).

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

240536080224 is a wasteful number, since it uses less digits than its factorization.

240536080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 240536080224 in words is "two hundred forty billion, five hundred thirty-six million, eighty thousand, two hundred twenty-four".