242154604706520 has 256 divisors, whose sum is σ = 834245733888000. Its totient is φ = 55612527091200.

The previous prime is 242154604706473. The next prime is 242154604706527. The reversal of 242154604706520 is 25607406451242.

242154604706520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242154604706520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242154604706527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799674901 + ... + 799977659.

It is an arithmetic number, because the mean of its divisors is an integer number (3258772398000).

Almost surely, 2^{242154604706520} is an apocalyptic number.

242154604706520 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 242154604706520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417122866944000).

242154604706520 is an abundant number, since it is smaller than the sum of its proper divisors (592091129181480).

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

242154604706520 is a wasteful number, since it uses less digits than its factorization.

242154604706520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334694 (or 334690 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 242154604706520 in words is "two hundred forty-two trillion, one hundred fifty-four billion, six hundred four million, seven hundred six thousand, five hundred twenty".