242013020 has 48 divisors (see below), whose sum is σ = 539548128. Its totient is φ = 90869760.

The previous prime is 242013007. The next prime is 242013043. The reversal of 242013020 is 20310242.

It is a junction number, because it is equal to n+sod(n) for n = 242012986 and 242013004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177140 + ... + 178500.

It is an arithmetic number, because the mean of its divisors is an integer number (11240586).

Almost surely, 2^242013020 is an apocalyptic number.

242013020 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 242013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269774064).

242013020 is an abundant number, since it is smaller than the sum of its proper divisors (297535108).

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

242013020 is a wasteful number, since it uses less digits than its factorization.

242013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 242013020 is about 15556.7676591251. The cubic root of 242013020 is about 623.1791440588.

Adding to 242013020 its reverse (20310242), we get a palindrome (262323262).

The spelling of 242013020 in words is "two hundred forty-two million, thirteen thousand, twenty".