242102784 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 59473920.

The previous prime is 242102753. The next prime is 242102813. The reversal of 242102784 is 487201242.

It is a super-2 number, since 2×242102784² = 117227516041101312, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2720212 + ... + 2720300.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^242102784 is an apocalyptic number.

242102784 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 242102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

242102784 is an abundant number, since it is smaller than the sum of its proper divisors (606414336).

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

242102784 is a wasteful number, since it uses less digits than its factorization.

242102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 242102784 is about 15559.6524382777. The cubic root of 242102784 is about 623.2561814266.

It can be divided in two parts, 24 and 2102784, that multiplied together give a square (50466816 = 7104²).

The spelling of 242102784 in words is "two hundred forty-two million, one hundred two thousand, seven hundred eighty-four".