268383192240 has 80 divisors (see below), whose sum is σ = 832076886528. Its totient is φ = 71561196288.

The previous prime is 268383192223. The next prime is 268383192263. The reversal of 268383192240 is 42291383862.

268383192240 is digitally balanced in base 2, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268383192240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2398827 + ... + 2508213.

Almost surely, 2^268383192240 is an apocalyptic number.

268383192240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268383192240 is an abundant number, since it is smaller than the sum of its proper divisors (563693694288).

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

268383192240 is a wasteful number, since it uses less digits than its factorization.

268383192240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119626 (or 119620 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 268383192240 in words is "two hundred sixty-eight billion, three hundred eighty-three million, one hundred ninety-two thousand, two hundred forty".