242813088 has 144 divisors (see below), whose sum is σ = 807782976. Its totient is φ = 67737600.

The previous prime is 242813071. The next prime is 242813089. The reversal of 242813088 is 880318242.

It is a happy number.

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

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 (242813089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85288 + ... + 88088.

It is an arithmetic number, because the mean of its divisors is an integer number (5609604).

Almost surely, 2^242813088 is an apocalyptic number.

242813088 is a gapful number since it is divisible by the number (28) 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 242813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403891488).

242813088 is an abundant number, since it is smaller than the sum of its proper divisors (564969888).

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

242813088 is a wasteful number, since it uses less digits than its factorization.

242813088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 242813088 is about 15582.4609096253. The cubic root of 242813088 is about 623.8651089095.

The spelling of 242813088 in words is "two hundred forty-two million, eight hundred thirteen thousand, eighty-eight".