242033280 has 128 divisors (see below), whose sum is σ = 792564480. Its totient is φ = 62779392.

The previous prime is 242033261. The next prime is 242033293. The reversal of 242033280 is 82330242.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242033280.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69337 + ... + 72743.

It is an arithmetic number, because the mean of its divisors is an integer number (6191910).

Almost surely, 2^242033280 is an apocalyptic number.

242033280 is a gapful number since it is divisible by the number (20) 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 242033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396282240).

242033280 is an abundant number, since it is smaller than the sum of its proper divisors (550531200).

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

242033280 is a wasteful number, since it uses less digits than its factorization.

242033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 242033280 is about 15557.4188090441. The cubic root of 242033280 is about 623.1965332846.

The spelling of 242033280 in words is "two hundred forty-two million, thirty-three thousand, two hundred eighty".