2164521528 has 192 divisors, whose sum is σ = 6709903200. Its totient is φ = 649451520.

The previous prime is 2164521493. The next prime is 2164521533. The reversal of 2164521528 is 8251254612.

2164521528 is a `hidden beast` number, since 2 + 1 + 645 + 2 + 1 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2164521492 and 2164521501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035108 + ... + 1037196.

Almost surely, 2^2164521528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164521528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354951600).

2164521528 is an abundant number, since it is smaller than the sum of its proper divisors (4545381672).

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

2164521528 is a wasteful number, since it uses less digits than its factorization.

2164521528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2148 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2164521528 is about 46524.4186207630. The cubic root of 2164521528 is about 1293.5621610088.

The spelling of 2164521528 in words is "two billion, one hundred sixty-four million, five hundred twenty-one thousand, five hundred twenty-eight".