240938881540560 has 240 divisors, whose sum is σ = 965394566596800. Its totient is φ = 55071744327936.

The previous prime is 240938881540559. The next prime is 240938881540571. The reversal of 240938881540560 is 65045188839042.

240938881540560 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 3 + 8 + 8 + 81 + 540 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×240938881540560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138116390 + ... + 1138328069.

It is an arithmetic number, because the mean of its divisors is an integer number (4022477360820).

Almost surely, 2^{240938881540560} is an apocalyptic number.

240938881540560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240938881540560 is an abundant number, since it is smaller than the sum of its proper divisors (724455685056240).

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

240938881540560 is a wasteful number, since it uses less digits than its factorization.

240938881540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276444495 (or 2276444476 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 240938881540560 in words is "two hundred forty trillion, nine hundred thirty-eight billion, eight hundred eighty-one million, five hundred forty thousand, five hundred sixty".