2178908160 has 512 divisors, whose sum is σ = 8455587840. Its totient is φ = 471859200.

The previous prime is 2178908153. The next prime is 2178908177. The reversal of 2178908160 is 618098712.

It is a tau number, because it is divible by the number of its divisors (512).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70287345 + ... + 70287375.

It is an arithmetic number, because the mean of its divisors is an integer number (16514820).

Almost surely, 2^2178908160 is an apocalyptic number.

2178908160 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 2178908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227793920).

2178908160 is an abundant number, since it is smaller than the sum of its proper divisors (6276679680).

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

2178908160 is a wasteful number, since it uses less digits than its factorization.

2178908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 2178908160 is about 46678.7763335758. The cubic root of 2178908160 is about 1296.4217496451.

The spelling of 2178908160 in words is "two billion, one hundred seventy-eight million, nine hundred eight thousand, one hundred sixty".