242709264 has 160 divisors (see below), whose sum is σ = 806615040. Its totient is φ = 68439168.

The previous prime is 242709241. The next prime is 242709293. The reversal of 242709264 is 462907242.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250509 + ... + 251475.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^242709264 is an apocalyptic number.

242709264 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 242709264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403307520).

242709264 is an abundant number, since it is smaller than the sum of its proper divisors (563905776).

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

242709264 is a wasteful number, since it uses less digits than its factorization.

242709264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 242709264 is about 15579.1291155828. The cubic root of 242709264 is about 623.7761771229.

The spelling of 242709264 in words is "two hundred forty-two million, seven hundred nine thousand, two hundred sixty-four".