242796288 has 144 divisors (see below), whose sum is σ = 777701120. Its totient is φ = 65691648.

The previous prime is 242796263. The next prime is 242796347. The reversal of 242796288 is 882697242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100956 + ... + 103332.

Almost surely, 2^242796288 is an apocalyptic number.

242796288 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 242796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388850560).

242796288 is an abundant number, since it is smaller than the sum of its proper divisors (534904832).

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

242796288 is a wasteful number, since it uses less digits than its factorization.

242796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2408 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 242796288 is about 15581.9218326880. The cubic root of 242796288 is about 623.8507203722.

The spelling of 242796288 in words is "two hundred forty-two million, seven hundred ninety-six thousand, two hundred eighty-eight".