2168890272 has 108 divisors (see below), whose sum is σ = 6340136166. Its totient is φ = 703296000.

The previous prime is 2168890259. The next prime is 2168890301. The reversal of 2168890272 is 2720988612.

2168890272 is a `hidden beast` number, since 216 + 88 + 90 + 272 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1858989456 + 309900816 = 43116^2 + 17604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 391522 + ... + 397022.

Almost surely, 2^2168890272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170068083).

2168890272 is an abundant number, since it is smaller than the sum of its proper divisors (4171245894).

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

2168890272 is a wasteful number, since it uses less digits than its factorization.

2168890272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2168890272 is about 46571.3460402424. The cubic root of 2168890272 is about 1294.4318596263.

The spelling of 2168890272 in words is "two billion, one hundred sixty-eight million, eight hundred ninety thousand, two hundred seventy-two".