242503020 has 72 divisors (see below), whose sum is σ = 742931280. Its totient is φ = 64022400.

The previous prime is 242503003. The next prime is 242503021. The reversal of 242503020 is 20305242.

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 = 242502984 and 242503002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242503021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11511 + ... + 24849.

It is an arithmetic number, because the mean of its divisors is an integer number (10318490).

Almost surely, 2^242503020 is an apocalyptic number.

242503020 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 242503020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371465640).

242503020 is an abundant number, since it is smaller than the sum of its proper divisors (500428260).

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

242503020 is a wasteful number, since it uses less digits than its factorization.

242503020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13450 counting only the distinct ones).

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

The square root of 242503020 is about 15572.5084684517. The cubic root of 242503020 is about 623.5994409058.

Adding to 242503020 its reverse (20305242), we get a palindrome (262808262).

The spelling of 242503020 in words is "two hundred forty-two million, five hundred three thousand, twenty".