2127216240 has 120 divisors (see below), whose sum is σ = 7296015168. Its totient is φ = 555179520.

The previous prime is 2127216233. The next prime is 2127216241. The reversal of 2127216240 is 426127212.

2127216240 is a `hidden beast` number, since 2 + 12 + 7 + 21 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127216241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410 + ... + 65270.

Almost surely, 2^2127216240 is an apocalyptic number.

2127216240 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 2127216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648007584).

2127216240 is an abundant number, since it is smaller than the sum of its proper divisors (5168798928).

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

2127216240 is a wasteful number, since it uses less digits than its factorization.

2127216240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62927 (or 62918 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2127216240 is about 46121.7545199660. The cubic root of 2127216240 is about 1286.0875872644.

The spelling of 2127216240 in words is "two billion, one hundred twenty-seven million, two hundred sixteen thousand, two hundred forty".