242052372480 has 192 divisors, whose sum is σ = 787079311200. Its totient is φ = 63488655360.

The previous prime is 242052372437. The next prime is 242052372503. The reversal of 242052372480 is 84273250242.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×242052372480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809336 + ... + 1938504.

Almost surely, 2^242052372480 is an apocalyptic number.

242052372480 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 242052372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393539655600).

242052372480 is an abundant number, since it is smaller than the sum of its proper divisors (545026938720).

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

242052372480 is a wasteful number, since it uses less digits than its factorization.

242052372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129260 (or 129240 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 242052372480 in words is "two hundred forty-two billion, fifty-two million, three hundred seventy-two thousand, four hundred eighty".