242302020 has 96 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 60340224.

The previous prime is 242302013. The next prime is 242302031. The reversal of 242302020 is 20203242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140926 + ... + 142634.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^242302020 is an apocalyptic number.

242302020 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 242302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

242302020 is an abundant number, since it is smaller than the sum of its proper divisors (481643580).

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

242302020 is a wasteful number, since it uses less digits than its factorization.

242302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242302020 is about 15566.0534497348. The cubic root of 242302020 is about 623.4271019742.

Adding to 242302020 its reverse (20203242), we get a palindrome (262505262).

The spelling of 242302020 in words is "two hundred forty-two million, three hundred two thousand, twenty".