240749220096 has 1296 divisors, whose sum is σ = 945436011520. Its totient is φ = 57480192000.

The previous prime is 240749220071. The next prime is 240749220121. The reversal of 240749220096 is 690022947042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (240749220071) and next prime (240749220121).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1594365621 + ... + 1594365771.

Almost surely, 2^240749220096 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 240749220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472718005760).

240749220096 is an abundant number, since it is smaller than the sum of its proper divisors (704686791424).

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

240749220096 is a wasteful number, since it uses less digits than its factorization.

240749220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 240749220096 in words is "two hundred forty billion, seven hundred forty-nine million, two hundred twenty thousand, ninety-six".