240304962240 has 672 divisors, whose sum is σ = 971844217344. Its totient is φ = 53356216320.

The previous prime is 240304962197. The next prime is 240304962257. The reversal of 240304962240 is 42269403042.

240304962240 is a `hidden beast` number, since 2 + 40 + 304 + 96 + 224 + 0 = 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 junction number, because it is equal to n+sod(n) for n = 240304962195 and 240304962204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253753447 + ... + 253754393.

It is an arithmetic number, because the mean of its divisors is an integer number (1446196752).

Almost surely, 2^240304962240 is an apocalyptic number.

240304962240 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 240304962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485922108672).

240304962240 is an abundant number, since it is smaller than the sum of its proper divisors (731539255104).

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

240304962240 is a wasteful number, since it uses less digits than its factorization.

240304962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 240304962240 in words is "two hundred forty billion, three hundred four million, nine hundred sixty-two thousand, two hundred forty".