240815115072 has 672 divisors, whose sum is σ = 845719440384. Its totient is φ = 66512793600.

The previous prime is 240815115071. The next prime is 240815115103. The reversal of 240815115072 is 270511518042.

It is a happy number.

240815115072 is a `hidden beast` number, since 24 + 0 + 8 + 1 + 511 + 50 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240815115071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727537947 + ... + 727538277.

It is an arithmetic number, because the mean of its divisors is an integer number (1258511072).

Almost surely, 2^240815115072 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 240815115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422859720192).

240815115072 is an abundant number, since it is smaller than the sum of its proper divisors (604904325312).

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

240815115072 is a wasteful number, since it uses less digits than its factorization.

240815115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 240815115072 in words is "two hundred forty billion, eight hundred fifteen million, one hundred fifteen thousand, seventy-two".