242811840 has 224 divisors, whose sum is σ = 819302400. Its totient is φ = 60825600.

The previous prime is 242811827. The next prime is 242811859. The reversal of 242811840 is 48118242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242811798 and 242811807.

It is a congruent number.

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, 1220061 + ... + 1220259.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^242811840 is an apocalyptic number.

242811840 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 242811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

242811840 is an abundant number, since it is smaller than the sum of its proper divisors (576490560).

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

242811840 is a wasteful number, since it uses less digits than its factorization.

242811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 242811840 is about 15582.4208645512. The cubic root of 242811840 is about 623.8640400696.

The spelling of 242811840 in words is "two hundred forty-two million, eight hundred eleven thousand, eight hundred forty".