240240000 has 640 divisors, whose sum is σ = 1070657280. Its totient is φ = 46080000.

The previous prime is 240239969. The next prime is 240240019. The reversal of 240240000 is 42042.

240240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479994 + ... + 18480006.

It is an arithmetic number, because the mean of its divisors is an integer number (1672902).

Almost surely, 2^240240000 is an apocalyptic number.

240240000 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 240240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535328640).

240240000 is an abundant number, since it is smaller than the sum of its proper divisors (830417280).

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

240240000 is a wasteful number, since it uses less digits than its factorization.

240240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240240000 is about 15499.6774159981. The cubic root of 240240000 is about 621.6535810132.

Adding to 240240000 its reverse (42042), we get a palindrome (240282042).

The spelling of 240240000 in words is "two hundred forty million, two hundred forty thousand".