242350020 has 72 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 58751040.

The previous prime is 242349983. The next prime is 242350027. The reversal of 242350020 is 20053242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242349975 and 242350002.

It is not an unprimeable number, because it can be changed into a prime (242350027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59220 + ... + 63179.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^242350020 is an apocalyptic number.

242350020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242350020 is an abundant number, since it is smaller than the sum of its proper divisors (559614780).

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

242350020 is a wasteful number, since it uses less digits than its factorization.

242350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122425 (or 122420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242350020 is about 15567.5951900093. The cubic root of 242350020 is about 623.4682661999.

The spelling of 242350020 in words is "two hundred forty-two million, three hundred fifty thousand, twenty".