242709984 has 144 divisors (see below), whose sum is σ = 785925504. Its totient is φ = 70329600.

The previous prime is 242709983. The next prime is 242709991. The reversal of 242709984 is 489907242.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242709983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71199 + ... + 74529.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2^242709984 is an apocalyptic number.

242709984 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 242709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962752).

242709984 is an abundant number, since it is smaller than the sum of its proper divisors (543215520).

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

242709984 is a wasteful number, since it uses less digits than its factorization.

242709984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 242709984 is about 15579.1522234042. The cubic root of 242709984 is about 623.7767939355.

The spelling of 242709984 in words is "two hundred forty-two million, seven hundred nine thousand, nine hundred eighty-four".