240546240 has 224 divisors, whose sum is σ = 926104320. Its totient is φ = 58291200.

The previous prime is 240546239. The next prime is 240546247. The reversal of 240546240 is 42645042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240546247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93775 + ... + 96305.

Almost surely, 2^240546240 is an apocalyptic number.

240546240 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 240546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463052160).

240546240 is an abundant number, since it is smaller than the sum of its proper divisors (685558080).

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

240546240 is a wasteful number, since it uses less digits than its factorization.

240546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 240546240 is about 15509.5531850534. The cubic root of 240546240 is about 621.9176146988.

The spelling of 240546240 in words is "two hundred forty million, five hundred forty-six thousand, two hundred forty".