240226017768 has 384 divisors, whose sum is σ = 737901964800. Its totient is φ = 69975360000.

The previous prime is 240226017739. The next prime is 240226017803. The reversal of 240226017768 is 867710622042.

It is a happy number.

It is a super-2 number, since 2×240226017768² (a number of 24 digits) contains 22 as substring.

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, 957075643 + ... + 957075893.

It is an arithmetic number, because the mean of its divisors is an integer number (1921619700).

Almost surely, 2^240226017768 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 240226017768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368950982400).

240226017768 is an abundant number, since it is smaller than the sum of its proper divisors (497675947032).

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

240226017768 is a wasteful number, since it uses less digits than its factorization.

240226017768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 240226017768 in words is "two hundred forty billion, two hundred twenty-six million, seventeen thousand, seven hundred sixty-eight".