240906393000 has 2560 divisors, whose sum is σ = 1141620480000. Its totient is φ = 46942156800.

The previous prime is 240906392999. The next prime is 240906393001. The reversal of 240906393000 is 393609042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (240906392999) and next prime (240906393001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240906393001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8307116986 + ... + 8307117014.

It is an arithmetic number, because the mean of its divisors is an integer number (445945500).

Almost surely, 2^240906393000 is an apocalyptic number.

240906393000 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 240906393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240000).

240906393000 is an abundant number, since it is smaller than the sum of its proper divisors (900714087000).

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

240906393000 is a wasteful number, since it uses less digits than its factorization.

240906393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 240906393000 in words is "two hundred forty billion, nine hundred six million, three hundred ninety-three thousand".