240689631840 has 384 divisors, whose sum is σ = 920481408000. Its totient is φ = 51639607296.

The previous prime is 240689631827. The next prime is 240689631881. The reversal of 240689631840 is 48136986042.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6941266 + ... + 6975854.

It is an arithmetic number, because the mean of its divisors is an integer number (2397087000).

Almost surely, 2^240689631840 is an apocalyptic number.

240689631840 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 240689631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460240704000).

240689631840 is an abundant number, since it is smaller than the sum of its proper divisors (679791776160).

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

240689631840 is a wasteful number, since it uses less digits than its factorization.

240689631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34742 (or 34734 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

It can be divided in two parts, 2406896 and 31840, that added together give a triangular number (2438736 = T₂₂₀₈).

The spelling of 240689631840 in words is "two hundred forty billion, six hundred eighty-nine million, six hundred thirty-one thousand, eight hundred forty".