242981531520 has 1024 divisors, whose sum is σ = 995193077760. Its totient is φ = 49049763840.

The previous prime is 242981531509. The next prime is 242981531543. The reversal of 242981531520 is 25135189242.

242981531520 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 (42).

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 127 ways as a sum of consecutive naturals, for example, 612043962 + ... + 612044358.

It is an arithmetic number, because the mean of its divisors is an integer number (971868240).

Almost surely, 2^242981531520 is an apocalyptic number.

242981531520 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 242981531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497596538880).

242981531520 is an abundant number, since it is smaller than the sum of its proper divisors (752211546240).

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

242981531520 is a wasteful number, since it uses less digits than its factorization.

242981531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 242981531520 in words is "two hundred forty-two billion, nine hundred eighty-one million, five hundred thirty-one thousand, five hundred twenty".