2159861760 has 672 divisors, whose sum is σ = 9159800832. Its totient is φ = 477757440.

The previous prime is 2159861719. The next prime is 2159861761. The reversal of 2159861760 is 671689512.

2159861760 is a `hidden beast` number, since 21 + 5 + 9 + 8 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159861761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672945 + ... + 69672975.

It is an arithmetic number, because the mean of its divisors is an integer number (13630656).

Almost surely, 2^2159861760 is an apocalyptic number.

2159861760 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 2159861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579900416).

2159861760 is an abundant number, since it is smaller than the sum of its proper divisors (6999939072).

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

2159861760 is an frugal number, since it uses more digits than its factorization.

2159861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2159861760 is about 46474.3129050877. The cubic root of 2159861760 is about 1292.6332366668.

The spelling of 2159861760 in words is "two billion, one hundred fifty-nine million, eight hundred sixty-one thousand, seven hundred sixty".