240599040 has 240 divisors, whose sum is σ = 849320640. Its totient is φ = 57671680.

The previous prime is 240599017. The next prime is 240599057. The reversal of 240599040 is 40995042.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 240598992 and 240599010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703316 + ... + 2703404.

It is an arithmetic number, because the mean of its divisors is an integer number (3538836).

Almost surely, 2^240599040 is an apocalyptic number.

240599040 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 240599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424660320).

240599040 is an abundant number, since it is smaller than the sum of its proper divisors (608721600).

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

240599040 is an equidigital number, since it uses as much as digits as its factorization.

240599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 240599040 is about 15511.2552683527. The cubic root of 240599040 is about 621.9631150951.

The spelling of 240599040 in words is "two hundred forty million, five hundred ninety-nine thousand, forty".