240542784 has 84 divisors (see below), whose sum is σ = 715054704. Its totient is φ = 80175744.

The previous prime is 240542737. The next prime is 240542803. The reversal of 240542784 is 487245042.

240542784 is a `hidden beast` number, since 2 + 40 + 542 + 78 + 4 = 666.

240542784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 7819 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (8512556).

Almost surely, 2^240542784 is an apocalyptic number.

240542784 is a gapful number since it is divisible by the number (24) 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 240542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357527352).

240542784 is an abundant number, since it is smaller than the sum of its proper divisors (474511920).

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

240542784 is an equidigital number, since it uses as much as digits as its factorization.

240542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 240542784 is about 15509.4417694513. The cubic root of 240542784 is about 621.9146362589.

The spelling of 240542784 in words is "two hundred forty million, five hundred forty-two thousand, seven hundred eighty-four".