242052284403072 has 768 divisors, whose sum is σ = 847431621504000. Its totient is φ = 67423212380160.

The previous prime is 242052284402989. The next prime is 242052284403101. The reversal of 242052284403072 is 270304482250242.

242052284403072 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 522 + 84 + 40 + 3 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1535425438 + ... + 1535583074.

It is an arithmetic number, because the mean of its divisors is an integer number (1103426590500).

Almost surely, 2^{242052284403072} is an apocalyptic number.

242052284403072 is a gapful number since it is divisible by the number (22) 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 242052284403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423715810752000).

242052284403072 is an abundant number, since it is smaller than the sum of its proper divisors (605379337100928).

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

242052284403072 is a wasteful number, since it uses less digits than its factorization.

242052284403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157936 (or 157905 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 242052284403072 in words is "two hundred forty-two trillion, fifty-two billion, two hundred eighty-four million, four hundred three thousand, seventy-two".