2164541320 has 64 divisors (see below), whose sum is σ = 5183734320. Its totient is φ = 810614784.

The previous prime is 2164541311. The next prime is 2164541369. The reversal of 2164541320 is 231454612.

It can be written as a sum of positive squares in 8 ways, for example, as 354719556 + 1809821764 = 18834^2 + 42542^2 .

It is a super-4 number, since 4×2164541320⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122994 + ... + 139486.

Almost surely, 2^2164541320 is an apocalyptic number.

2164541320 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 2164541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591867160).

2164541320 is an abundant number, since it is smaller than the sum of its proper divisors (3019193000).

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

2164541320 is a wasteful number, since it uses less digits than its factorization.

2164541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16714 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2164541320 is about 46524.6313257827. The cubic root of 2164541320 is about 1293.5661036976.

Adding to 2164541320 its reverse (231454612), we get a palindrome (2395995932).

The spelling of 2164541320 in words is "two billion, one hundred sixty-four million, five hundred forty-one thousand, three hundred twenty".