242602855103520 has 768 divisors, whose sum is σ = 911652253102080. Its totient is φ = 60036104060928.

The previous prime is 242602855103509. The next prime is 242602855103561. The reversal of 242602855103520 is 25301558206242.

242602855103520 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 0 + 2 + 85 + 510 + 3 + 52 + 0 = 666.

It is a super-2 number, since 2×242602855103520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28397848369 + ... + 28397856911.

It is an arithmetic number, because the mean of its divisors is an integer number (1187047204560).

Almost surely, 2^{242602855103520} is an apocalyptic number.

242602855103520 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 242602855103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455826126551040).

242602855103520 is an abundant number, since it is smaller than the sum of its proper divisors (669049397998560).

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

242602855103520 is a wasteful number, since it uses less digits than its factorization.

242602855103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 242602855103520 in words is "two hundred forty-two trillion, six hundred two billion, eight hundred fifty-five million, one hundred three thousand, five hundred twenty".