240949002240 has 864 divisors, whose sum is σ = 927482905440. Its totient is φ = 59793997824.

The previous prime is 240949002209. The next prime is 240949002269. The reversal of 240949002240 is 42200949042.

240949002240 is a `hidden beast` number, since 2 + 409 + 4 + 9 + 0 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 240949002195 and 240949002204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2707292116 + ... + 2707292204.

It is an arithmetic number, because the mean of its divisors is an integer number (1073475585).

Almost surely, 2^240949002240 is an apocalyptic number.

240949002240 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 240949002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463741452720).

240949002240 is an abundant number, since it is smaller than the sum of its proper divisors (686533903200).

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

240949002240 is an frugal number, since it uses more digits than its factorization.

240949002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 240949002240 in words is "two hundred forty billion, nine hundred forty-nine million, two thousand, two hundred forty".