2009180160 has 576 divisors, whose sum is σ = 7913505600. Its totient is φ = 483065856.

The previous prime is 2009180149. The next prime is 2009180177. The reversal of 2009180160 is 610819002.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 46725099 + ... + 46725141.

It is an arithmetic number, because the mean of its divisors is an integer number (13738725).

Almost surely, 2^2009180160 is an apocalyptic number.

2009180160 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 2009180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956752800).

2009180160 is an abundant number, since it is smaller than the sum of its proper divisors (5904325440).

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

2009180160 is a wasteful number, since it uses less digits than its factorization.

2009180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2009180160 is about 44823.8793501857. The cubic root of 2009180160 is about 1261.8458207454.

Adding to 2009180160 its reverse (610819002), we get a palindrome (2619999162).

The spelling of 2009180160 in words is "two billion, nine million, one hundred eighty thousand, one hundred sixty".