2149168560 has 320 divisors, whose sum is σ = 8796294144. Its totient is φ = 420249600.

The previous prime is 2149168559. The next prime is 2149168573. The reversal of 2149168560 is 658619412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310740 + ... + 317580.

Almost surely, 2^2149168560 is an apocalyptic number.

2149168560 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 2149168560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398147072).

2149168560 is an abundant number, since it is smaller than the sum of its proper divisors (6647125584).

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

2149168560 is a wasteful number, since it uses less digits than its factorization.

2149168560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2149168560 is about 46359.1259624251. The cubic root of 2149168560 is about 1290.4964857741.

The spelling of 2149168560 in words is "two billion, one hundred forty-nine million, one hundred sixty-eight thousand, five hundred sixty".