2189468160 has 480 divisors, whose sum is σ = 8479867968. Its totient is φ = 517570560.

The previous prime is 2189468137. The next prime is 2189468179. The reversal of 2189468160 is 618649812.

2189468160 is a `hidden beast` number, since 2 + 189 + 468 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13432239 + ... + 13432401.

Almost surely, 2^2189468160 is an apocalyptic number.

2189468160 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 2189468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239933984).

2189468160 is an abundant number, since it is smaller than the sum of its proper divisors (6290399808).

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

2189468160 is a wasteful number, since it uses less digits than its factorization.

2189468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2189468160 is about 46791.7531195402. The cubic root of 2189468160 is about 1298.5127291102.

The spelling of 2189468160 in words is "two billion, one hundred eighty-nine million, four hundred sixty-eight thousand, one hundred sixty".