240531515040 has 192 divisors, whose sum is σ = 762967247616. Its totient is φ = 63694897152.

The previous prime is 240531514967. The next prime is 240531515041. The reversal of 240531515040 is 40515135042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240531514989 and 240531515007.

It is not an unprimeable number, because it can be changed into a prime (240531515041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59936074 + ... + 59940086.

It is an arithmetic number, because the mean of its divisors is an integer number (3973787748).

Almost surely, 2^240531515040 is an apocalyptic number.

240531515040 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 240531515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381483623808).

240531515040 is an abundant number, since it is smaller than the sum of its proper divisors (522435732576).

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

240531515040 is a wasteful number, since it uses less digits than its factorization.

240531515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 240531515040 in words is "two hundred forty billion, five hundred thirty-one million, five hundred fifteen thousand, forty".