2039132160 has 624 divisors, whose sum is σ = 8157449664. Its totient is φ = 467140608.

The previous prime is 2039132159. The next prime is 2039132189. The reversal of 2039132160 is 612319302.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55111662 + ... + 55111698.

It is an arithmetic number, because the mean of its divisors is an integer number (13072836).

Almost surely, 2^2039132160 is an apocalyptic number.

2039132160 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 2039132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078724832).

2039132160 is an abundant number, since it is smaller than the sum of its proper divisors (6118317504).

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

2039132160 is a wasteful number, since it uses less digits than its factorization.

2039132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2039132160 is about 45156.7509903004. The cubic root of 2039132160 is about 1268.0852705977.

The spelling of 2039132160 in words is "two billion, thirty-nine million, one hundred thirty-two thousand, one hundred sixty".