240242720580 has 192 divisors, whose sum is σ = 816917391360. Its totient is φ = 58351104000.

The previous prime is 240242720573. The next prime is 240242720633. The reversal of 240242720580 is 85027242042.

240242720580 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 4 + 2 + 72 + 0 + 580 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137521 + ... + 706680.

It is an arithmetic number, because the mean of its divisors is an integer number (4254778080).

Almost surely, 2^240242720580 is an apocalyptic number.

240242720580 is a gapful number since it is divisible by the number (20) 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 240242720580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408458695680).

240242720580 is an abundant number, since it is smaller than the sum of its proper divisors (576674670780).

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

240242720580 is a wasteful number, since it uses less digits than its factorization.

240242720580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844267 (or 844259 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 240242720580 in words is "two hundred forty billion, two hundred forty-two million, seven hundred twenty thousand, five hundred eighty".