240142080 has 144 divisors (see below), whose sum is σ = 800593920. Its totient is φ = 61231104.

The previous prime is 240142079. The next prime is 240142081. The reversal of 240142080 is 80241042.

It is an interprime number because it is at equal distance from previous prime (240142079) and next prime (240142081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86961 + ... + 89679.

It is an arithmetic number, because the mean of its divisors is an integer number (5559680).

Almost surely, 2^240142080 is an apocalyptic number.

240142080 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 240142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400296960).

240142080 is an abundant number, since it is smaller than the sum of its proper divisors (560451840).

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

240142080 is a wasteful number, since it uses less digits than its factorization.

240142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 240142080 is about 15496.5183186418. The cubic root of 240142080 is about 621.5691091089.

The spelling of 240142080 in words is "two hundred forty million, one hundred forty-two thousand, eighty".