2082296160 has 432 divisors, whose sum is σ = 8579961936. Its totient is φ = 475517952.

The previous prime is 2082296159. The next prime is 2082296179. The reversal of 2082296160 is 616922802.

It is a happy number.

2082296160 is a `hidden beast` number, since 208 + 2 + 296 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904574 + ... + 1905666.

It is an arithmetic number, because the mean of its divisors is an integer number (19861023).

Almost surely, 2^2082296160 is an apocalyptic number.

2082296160 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 2082296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289980968).

2082296160 is an abundant number, since it is smaller than the sum of its proper divisors (6497665776).

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

2082296160 is a wasteful number, since it uses less digits than its factorization.

2082296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2082296160 is about 45632.1833797157. The cubic root of 2082296160 is about 1276.9704066187.

The spelling of 2082296160 in words is "two billion, eighty-two million, two hundred ninety-six thousand, one hundred sixty".