242027700564 has 96 divisors (see below), whose sum is σ = 621290113920. Its totient is φ = 72871239168.

The previous prime is 242027700493. The next prime is 242027700587. The reversal of 242027700564 is 465007720242.

It is a happy number.

242027700564 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 (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3094954 + ... + 3172190.

It is an arithmetic number, because the mean of its divisors is an integer number (6471772020).

Almost surely, 2^242027700564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242027700564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310645056960).

242027700564 is an abundant number, since it is smaller than the sum of its proper divisors (379262413356).

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

242027700564 is a wasteful number, since it uses less digits than its factorization.

242027700564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77689 (or 77687 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 242027700564 in words is "two hundred forty-two billion, twenty-seven million, seven hundred thousand, five hundred sixty-four".