2159071200 has 720 divisors, whose sum is σ = 9289936656. Its totient is φ = 481075200.

The previous prime is 2159071171. The next prime is 2159071219. The reversal of 2159071200 is 21709512.

2159071200 is a `hidden beast` number, since 2 + 1 + 590 + 71 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9266284 + ... + 9266516.

Almost surely, 2^2159071200 is an apocalyptic number.

2159071200 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 2159071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644968328).

2159071200 is an abundant number, since it is smaller than the sum of its proper divisors (7130865456).

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

2159071200 is a wasteful number, since it uses less digits than its factorization.

2159071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2159071200 is about 46465.8067830528. The cubic root of 2159071200 is about 1292.4755060724.

The spelling of 2159071200 in words is "two billion, one hundred fifty-nine million, seventy-one thousand, two hundred".