242114552510020 has 48 divisors (see below), whose sum is σ = 519310075834368. Its totient is φ = 94775846860160.

The previous prime is 242114552509993. The next prime is 242114552510023. The reversal of 242114552510020 is 20015255411242.

It is not an unprimeable number, because it can be changed into a prime (242114552510023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3343012 + ... + 22257691.

It is an arithmetic number, because the mean of its divisors is an integer number (10818959913216).

Almost surely, 2^{242114552510020} is an apocalyptic number.

242114552510020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242114552510020 is an abundant number, since it is smaller than the sum of its proper divisors (277195523324348).

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

242114552510020 is a wasteful number, since it uses less digits than its factorization.

242114552510020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610820 (or 25610818 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 242114552510020 in words is "two hundred forty-two trillion, one hundred fourteen billion, five hundred fifty-two million, five hundred ten thousand, twenty".