242119584 has 384 divisors, whose sum is σ = 887040000. Its totient is φ = 64012032.

The previous prime is 242119583. The next prime is 242119589. The reversal of 242119584 is 485911242.

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 (242119583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630667 + ... + 5630709.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 2^242119584 is an apocalyptic number.

242119584 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 242119584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520000).

242119584 is an abundant number, since it is smaller than the sum of its proper divisors (644920416).

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

242119584 is a wasteful number, since it uses less digits than its factorization.

242119584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 242119584 is about 15560.1922867296. The cubic root of 242119584 is about 623.2705974272.

The spelling of 242119584 in words is "two hundred forty-two million, one hundred nineteen thousand, five hundred eighty-four".