242779280 has 40 divisors (see below), whose sum is σ = 566126712. Its totient is φ = 96825344.

The previous prime is 242779267. The next prime is 242779301. The reversal of 242779280 is 82977242.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 208860304 = 5824^2 + 14452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 23942 + ... + 32538.

Almost surely, 2^242779280 is an apocalyptic number.

242779280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242779280 is an abundant number, since it is smaller than the sum of its proper divisors (323347432).

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

242779280 is a wasteful number, since it uses less digits than its factorization.

242779280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 242779280 is about 15581.3760624664. The cubic root of 242779280 is about 623.8361530149.

The spelling of 242779280 in words is "two hundred forty-two million, seven hundred seventy-nine thousand, two hundred eighty".