242255034533520 has 120 divisors (see below), whose sum is σ = 813600743537400. Its totient is φ = 64599152099328.

The previous prime is 242255034533513. The next prime is 242255034533537. The reversal of 242255034533520 is 25335430552242.

242255034533520 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 5 + 50 + 3 + 45 + 33 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1618991580816 + 240636042952704 = 1272396^2 + 15512448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 15600186 + ... + 26979174.

It is an arithmetic number, because the mean of its divisors is an integer number (6780006196145).

Almost surely, 2^{242255034533520} is an apocalyptic number.

242255034533520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242255034533520 is an abundant number, since it is smaller than the sum of its proper divisors (571345709003880).

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

242255034533520 is a wasteful number, since it uses less digits than its factorization.

242255034533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408577 (or 11408568 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 242255034533520 in words is "two hundred forty-two trillion, two hundred fifty-five billion, thirty-four million, five hundred thirty-three thousand, five hundred twenty".