242611200 has 462 divisors, whose sum is σ = 971019014. Its totient is φ = 59719680.

The previous prime is 242611181. The next prime is 242611207. The reversal of 242611200 is 2116242.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 241864704 = 864^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242611207) 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 41 ways as a sum of consecutive naturals, for example, 18662394 + ... + 18662406.

Almost surely, 2^242611200 is an apocalyptic number.

242611200 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 242611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485509507).

242611200 is an abundant number, since it is smaller than the sum of its proper divisors (728407814).

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

242611200 is an equidigital number, since it uses as much as digits as its factorization.

242611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242611200 is about 15575.9815100044. The cubic root of 242611200 is about 623.6921558454.

Adding to 242611200 its reverse (2116242), we get a palindrome (244727442).

The spelling of 242611200 in words is "two hundred forty-two million, six hundred eleven thousand, two hundred".