2032916160 has 448 divisors, whose sum is σ = 7460918784. Its totient is φ = 468357120.

The previous prime is 2032916143. The next prime is 2032916189. The reversal of 2032916160 is 616192302.

2032916160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032916160² = 8265496227178291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47277099 + ... + 47277141.

Almost surely, 2^2032916160 is an apocalyptic number.

2032916160 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 2032916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730459392).

2032916160 is an abundant number, since it is smaller than the sum of its proper divisors (5428002624).

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

2032916160 is a wasteful number, since it uses less digits than its factorization.

2032916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2032916160 is about 45087.8715399164. The cubic root of 2032916160 is about 1266.7954341238.

The spelling of 2032916160 in words is "two billion, thirty-two million, nine hundred sixteen thousand, one hundred sixty".