502120242 has 64 divisors (see below), whose sum is σ = 1206576000. Its totient is φ = 153866304.

The previous prime is 502120193. The next prime is 502120243. The reversal of 502120242 is 242021205.

502120242 is a `hidden beast` number, since 502 + 120 + 2 + 42 = 666.

It is a super-2 number, since 2×502120242² = 504249474852277128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (502120243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187509 + ... + 190167.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2^502120242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502120242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

502120242 is an abundant number, since it is smaller than the sum of its proper divisors (704455758).

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

502120242 is a wasteful number, since it uses less digits than its factorization.

502120242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 502120242 is about 22408.0396732958. The cubic root of 502120242 is about 794.8208353822.

Adding to 502120242 its reverse (242021205), we get a palindrome (744141447).

The spelling of 502120242 in words is "five hundred two million, one hundred twenty thousand, two hundred forty-two".