240880832640 has 2560 divisors, whose sum is σ = 1137438720000. Its totient is φ = 48283361280.

The previous prime is 240880832629. The next prime is 240880832651. The reversal of 240880832640 is 46238088042.

240880832640 is a `hidden beast` number, since 240 + 8 + 80 + 8 + 326 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (240880832629) and next prime (240880832651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7770349425 + ... + 7770349455.

It is an arithmetic number, because the mean of its divisors is an integer number (444312000).

Almost surely, 2^240880832640 is an apocalyptic number.

240880832640 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 240880832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568719360000).

240880832640 is an abundant number, since it is smaller than the sum of its proper divisors (896557887360).

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

240880832640 is a wasteful number, since it uses less digits than its factorization.

240880832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 240880832640 in words is "two hundred forty billion, eight hundred eighty million, eight hundred thirty-two thousand, six hundred forty".