2164605282 has 120 divisors (see below), whose sum is σ = 5664781980. Its totient is φ = 615988800.

The previous prime is 2164605259. The next prime is 2164605301. The reversal of 2164605282 is 2825064612.

It is a happy number.

2164605282 is a `hidden beast` number, since 2 + 1 + 646 + 0 + 5 + 2 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2155837761 + 8767521 = 46431^2 + 2961^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3087532 + ... + 3088232.

Almost surely, 2^2164605282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164605282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832390990).

2164605282 is an abundant number, since it is smaller than the sum of its proper divisors (3500176698).

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

2164605282 is a wasteful number, since it uses less digits than its factorization.

2164605282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2164605282 is about 46525.3187200260. The cubic root of 2164605282 is about 1293.5788451592.

Adding to 2164605282 its reverse (2825064612), we get a palindrome (4989669894).

The spelling of 2164605282 in words is "two billion, one hundred sixty-four million, six hundred five thousand, two hundred eighty-two".