242524980 has 72 divisors (see below), whose sum is σ = 745777032. Its totient is φ = 63783936.

The previous prime is 242524967. The next prime is 242524981. The reversal of 242524980 is 89425242.

242524980 is a `hidden beast` number, since 2 + 42 + 524 + 98 + 0 = 666.

242524980 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51753636 + 190771344 = 7194^2 + 13812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242524981) 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, 3912 + ... + 22368.

Almost surely, 2^242524980 is an apocalyptic number.

242524980 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 242524980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372888516).

242524980 is an abundant number, since it is smaller than the sum of its proper divisors (503252052).

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

242524980 is a wasteful number, since it uses less digits than its factorization.

242524980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545 (or 18540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242524980 is about 15573.2135412059. The cubic root of 242524980 is about 623.6182638059.

The spelling of 242524980 in words is "two hundred forty-two million, five hundred twenty-four thousand, nine hundred eighty".