242581200 has 120 divisors (see below), whose sum is σ = 802258176. Its totient is φ = 62592000.

The previous prime is 242581187. The next prime is 242581217. The reversal of 242581200 is 2185242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33940 + ... + 40460.

Almost surely, 2^242581200 is an apocalyptic number.

242581200 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 242581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401129088).

242581200 is an abundant number, since it is smaller than the sum of its proper divisors (559676976).

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

242581200 is a wasteful number, since it uses less digits than its factorization.

242581200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 242581200 is about 15575.0184590581. The cubic root of 242581200 is about 623.6664473099. Note that the first 3 decimals are identical.

The spelling of 242581200 in words is "two hundred forty-two million, five hundred eighty-one thousand, two hundred".