242100000 has 216 divisors, whose sum is σ = 863733780. Its totient is φ = 64320000.

The previous prime is 242099983. The next prime is 242100007. The reversal of 242100000 is 1242.

It can be written as a sum of positive squares in 6 ways, for example, as 81216144 + 160883856 = 9012^2 + 12684^2 .

It is a super-2 number, since 2×242100000² = 117224820000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (242100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899866 + ... + 900134.

Almost surely, 2^242100000 is an apocalyptic number.

242100000 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 242100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431866890).

242100000 is an abundant number, since it is smaller than the sum of its proper divisors (621633780).

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

242100000 is an equidigital number, since it uses as much as digits as its factorization.

242100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 242100000 is about 15559.5629758679. The cubic root of 242100000 is about 623.2537924249.

Adding to 242100000 its reverse (1242), we get a palindrome (242101242).

The spelling of 242100000 in words is "two hundred forty-two million, one hundred thousand".