240095347824 has 40 divisors (see below), whose sum is σ = 620727659280. Its totient is φ = 79969673728.

The previous prime is 240095347759. The next prime is 240095347829. The reversal of 240095347824 is 428743590042.

240095347824 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240095347829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878387 + ... + 2002130.

It is an arithmetic number, because the mean of its divisors is an integer number (15518191482).

Almost surely, 2^240095347824 is an apocalyptic number.

240095347824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240095347824 is an abundant number, since it is smaller than the sum of its proper divisors (380632311456).

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

240095347824 is a wasteful number, since it uses less digits than its factorization.

240095347824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881817 (or 3881811 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 240095347824 in words is "two hundred forty billion, ninety-five million, three hundred forty-seven thousand, eight hundred twenty-four".