242411820 has 96 divisors (see below), whose sum is σ = 791616000. Its totient is φ = 55403712.

The previous prime is 242411809. The next prime is 242411831. The reversal of 242411820 is 28114242.

It is an interprime number because it is at equal distance from previous prime (242411809) and next prime (242411831).

It is a super-5 number, since 5×242411820⁵ (a number of 43 digits) contains 55555 as substring.

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, 14691 + ... + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (8246000).

Almost surely, 2^242411820 is an apocalyptic number.

242411820 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 242411820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808000).

242411820 is an abundant number, since it is smaller than the sum of its proper divisors (549204180).

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

242411820 is a wasteful number, since it uses less digits than its factorization.

242411820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 242411820 is about 15569.5799557984. The cubic root of 242411820 is about 623.5212571372.

The spelling of 242411820 in words is "two hundred forty-two million, four hundred eleven thousand, eight hundred twenty".