242416980 has 144 divisors (see below), whose sum is σ = 797880720. Its totient is φ = 59574528.

The previous prime is 242416963. The next prime is 242416997. The reversal of 242416980 is 89614242.

It is an interprime number because it is at equal distance from previous prime (242416963) and next prime (242416997).

It can be written as a sum of positive squares in 8 ways, for example, as 236482884 + 5934096 = 15378^2 + 2436^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395154 + ... + 395766.

Almost surely, 2^242416980 is an apocalyptic number.

242416980 is a gapful number since it is divisible by the number (20) 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 242416980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398940360).

242416980 is an abundant number, since it is smaller than the sum of its proper divisors (555463740).

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

242416980 is a wasteful number, since it uses less digits than its factorization.

242416980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 242416980 is about 15569.7456626626. The cubic root of 242416980 is about 623.5256812159.

It can be divided in two parts, 2424169 and 80, that added together give a square (2424249 = 1557²).

The spelling of 242416980 in words is "two hundred forty-two million, four hundred sixteen thousand, nine hundred eighty".