216005280 has 48 divisors (see below), whose sum is σ = 680418144. Its totient is φ = 57601280.

The previous prime is 216005269. The next prime is 216005327. The reversal of 216005280 is 82500612.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 216005280.

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 7 ways as a sum of consecutive naturals, for example, 224526 + ... + 225485.

It is an arithmetic number, because the mean of its divisors is an integer number (14175378).

Almost surely, 2^216005280 is an apocalyptic number.

216005280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216005280 is an abundant number, since it is smaller than the sum of its proper divisors (464412864).

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

216005280 is a wasteful number, since it uses less digits than its factorization.

216005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450029 (or 450021 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 216005280 is about 14697.1180848492. The cubic root of 216005280 is about 600.0048888491.

Adding to 216005280 its reverse (82500612), we get a palindrome (298505892).

The spelling of 216005280 in words is "two hundred sixteen million, five thousand, two hundred eighty".