242989824 has 216 divisors, whose sum is σ = 822080448. Its totient is φ = 63006720.

The previous prime is 242989819. The next prime is 242989849. The reversal of 242989824 is 428989242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413659 + ... + 414245.

It is an arithmetic number, because the mean of its divisors is an integer number (3805928).

Almost surely, 2^242989824 is an apocalyptic number.

242989824 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 242989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411040224).

242989824 is an abundant number, since it is smaller than the sum of its proper divisors (579090624).

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

242989824 is a wasteful number, since it uses less digits than its factorization.

242989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 242989824 is about 15588.1308693506. The cubic root of 242989824 is about 624.0164361220.

The spelling of 242989824 in words is "two hundred forty-two million, nine hundred eighty-nine thousand, eight hundred twenty-four".