242002515131520 has 1024 divisors, whose sum is σ = 992636866368000. Its totient is φ = 49211281244160.

The previous prime is 242002515131519. The next prime is 242002515131581. The reversal of 242002515131520 is 25131515200242.

242002515131520 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134464146 + ... + 136252014.

Almost surely, 2^{242002515131520} is an apocalyptic number.

242002515131520 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 242002515131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496318433184000).

242002515131520 is an abundant number, since it is smaller than the sum of its proper divisors (750634351236480).

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

242002515131520 is a wasteful number, since it uses less digits than its factorization.

242002515131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787961 (or 1787949 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 242002515131520 in words is "two hundred forty-two trillion, two billion, five hundred fifteen million, one hundred thirty-one thousand, five hundred twenty".