240706254960 has 480 divisors, whose sum is σ = 859504988160. Its totient is φ = 62576769024.

The previous prime is 240706254949. The next prime is 240706254961. The reversal of 240706254960 is 69452607042.

240706254960 is a `hidden beast` number, since 2 + 40 + 7 + 0 + 6 + 2 + 549 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240706254961) 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, 423033556 + ... + 423034124.

It is an arithmetic number, because the mean of its divisors is an integer number (1790635392).

Almost surely, 2^240706254960 is an apocalyptic number.

240706254960 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 240706254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429752494080).

240706254960 is an abundant number, since it is smaller than the sum of its proper divisors (618798733200).

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

240706254960 is a wasteful number, since it uses less digits than its factorization.

240706254960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 240706254960 in words is "two hundred forty billion, seven hundred six million, two hundred fifty-four thousand, nine hundred sixty".