240608624928 has 192 divisors, whose sum is σ = 737084178432. Its totient is φ = 67297950720.

The previous prime is 240608624923. The next prime is 240608624951. The reversal of 240608624928 is 829426806042.

It is not an unprimeable number, because it can be changed into a prime (240608624923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16482913 + ... + 16497503.

It is an arithmetic number, because the mean of its divisors is an integer number (3838980096).

Almost surely, 2^240608624928 is an apocalyptic number.

240608624928 is a gapful number since it is divisible by the number (28) 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 240608624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368542089216).

240608624928 is an abundant number, since it is smaller than the sum of its proper divisors (496475553504).

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

240608624928 is a wasteful number, since it uses less digits than its factorization.

240608624928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 240608624928 in words is "two hundred forty billion, six hundred eight million, six hundred twenty-four thousand, nine hundred twenty-eight".