2159042688 has 240 divisors, whose sum is σ = 7066597230. Its totient is φ = 653875200.

The previous prime is 2159042681. The next prime is 2159042701. The reversal of 2159042688 is 8862409512.

2159042688 is a `hidden beast` number, since 215 + 9 + 0 + 426 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1631513664 + 527529024 = 40392^2 + 22968^2 .

It is a super-2 number, since 2×2159042688² = 9322930657212530688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2159042681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1253668 + ... + 1255388.

Almost surely, 2^2159042688 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 2159042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533298615).

2159042688 is an abundant number, since it is smaller than the sum of its proper divisors (4907554542).

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

2159042688 is a wasteful number, since it uses less digits than its factorization.

2159042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2159042688 is about 46465.4999757885. The cubic root of 2159042688 is about 1292.4698167088.

The spelling of 2159042688 in words is "two billion, one hundred fifty-nine million, forty-two thousand, six hundred eighty-eight".