2824072164 has 81 divisors (see below), whose sum is σ = 7597830331. Its totient is φ = 884282880.

The previous prime is 2824072133. The next prime is 2824072183. The reversal of 2824072164 is 4612704282.

The square root of 2824072164 is 53142.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15920100 + 2808152064 = 3990^2 + 52992^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5420224 + ... + 5420744.

Almost surely, 2^2824072164 is an apocalyptic number.

2824072164 is the 53142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824072164

2824072164 is an abundant number, since it is smaller than the sum of its proper divisors (4773758167).

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

2824072164 is a wasteful number, since it uses less digits than its factorization.

2824072164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The cubic root of 2824072164 is about 1413.4873627419.

Multiplying 2824072164 by its sum of digits (36), we get a square (101666597904 = 318852²).

2824072164 divided by its sum of digits (36) gives a square (78446449 = 8857²).

The spelling of 2824072164 in words is "two billion, eight hundred twenty-four million, seventy-two thousand, one hundred sixty-four".