240874624704868 has 384 divisors, whose sum is σ = 574261257830400. Its totient is φ = 85557182860800.

The previous prime is 240874624704821. The next prime is 240874624704913. The reversal of 240874624704868 is 868407426478042.

It is a super-2 number, since 2×240874624704868² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240874624704797 and 240874624704806.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33515319171 + ... + 33515326357.

It is an arithmetic number, because the mean of its divisors is an integer number (1495472025600).

Almost surely, 2^{240874624704868} is an apocalyptic number.

240874624704868 is a gapful number since it is divisible by the number (28) 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 240874624704868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287130628915200).

240874624704868 is an abundant number, since it is smaller than the sum of its proper divisors (333386633125532).

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

240874624704868 is a wasteful number, since it uses less digits than its factorization.

240874624704868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 70.

The spelling of 240874624704868 in words is "two hundred forty trillion, eight hundred seventy-four billion, six hundred twenty-four million, seven hundred four thousand, eight hundred sixty-eight".