242718840 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 49351680.

The previous prime is 242718803. The next prime is 242718841. The reversal of 242718840 is 48817242.

242718840 = T₂₂₆₄ + T₂₂₆₅ + ... + T₂₃₅₄.

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

It is a junction number, because it is equal to n+sod(n) for n = 242718795 and 242718804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242718841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015441 + ... + 1015679.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^242718840 is an apocalyptic number.

242718840 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 242718840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

242718840 is an abundant number, since it is smaller than the sum of its proper divisors (763668360).

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

242718840 is a wasteful number, since it uses less digits than its factorization.

242718840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 242718840 is about 15579.4364468038. The cubic root of 242718840 is about 623.7843806308.

The spelling of 242718840 in words is "two hundred forty-two million, seven hundred eighteen thousand, eight hundred forty".