242891280 has 60 divisors (see below), whose sum is σ = 815712300. Its totient is φ = 64770816.

The previous prime is 242891279. The next prime is 242891303. The reversal of 242891280 is 82198242.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 78641424 = 12816^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167955 + ... + 169394.

It is an arithmetic number, because the mean of its divisors is an integer number (13595205).

Almost surely, 2^242891280 is an apocalyptic number.

242891280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242891280 is an abundant number, since it is smaller than the sum of its proper divisors (572821020).

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

242891280 is a wasteful number, since it uses less digits than its factorization.

242891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337368 (or 337359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 242891280 is about 15584.9696823574. The cubic root of 242891280 is about 623.9320685418.

The spelling of 242891280 in words is "two hundred forty-two million, eight hundred ninety-one thousand, two hundred eighty".