201242880 has 216 divisors, whose sum is σ = 723183552. Its totient is φ = 53581824.

The previous prime is 201242863. The next prime is 201242891. The reversal of 201242880 is 88242102.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310717 + ... + 311363.

It is an arithmetic number, because the mean of its divisors is an integer number (3348072).

Almost surely, 2^201242880 is an apocalyptic number.

201242880 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 201242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361591776).

201242880 is an abundant number, since it is smaller than the sum of its proper divisors (521940672).

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

201242880 is an frugal number, since it uses more digits than its factorization.

201242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 201242880 is about 14186.0100098654. The cubic root of 201242880 is about 586.0124479489.

Adding to 201242880 its reverse (88242102), we get a palindrome (289484982).

The spelling of 201242880 in words is "two hundred one million, two hundred forty-two thousand, eight hundred eighty".