242721024 has 288 divisors, whose sum is σ = 835129344. Its totient is φ = 60825600.

The previous prime is 242721007. The next prime is 242721043. The reversal of 242721024 is 420127242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242720985 and 242721003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607349 + ... + 1607499.

Almost surely, 2^242721024 is an apocalyptic number.

242721024 is a gapful number since it is divisible by the number (24) 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 242721024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417564672).

242721024 is an abundant number, since it is smaller than the sum of its proper divisors (592408320).

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

242721024 is a wasteful number, since it uses less digits than its factorization.

242721024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 242721024 is about 15579.5065390403. The cubic root of 242721024 is about 623.7862515761.

Adding to 242721024 its reverse (420127242), we get a palindrome (662848266).

The spelling of 242721024 in words is "two hundred forty-two million, seven hundred twenty-one thousand, twenty-four".