2164541808 has 160 divisors (see below), whose sum is σ = 6639075072. Its totient is φ = 599040000.

The previous prime is 2164541803. The next prime is 2164541809. The reversal of 2164541808 is 8081454612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164541803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664183 + ... + 667433.

Almost surely, 2^2164541808 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 2164541808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319537536).

2164541808 is an abundant number, since it is smaller than the sum of its proper divisors (4474533264).

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

2164541808 is a wasteful number, since it uses less digits than its factorization.

2164541808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2164541808 is about 46524.6365703162. The cubic root of 2164541808 is about 1293.5662009099.

The spelling of 2164541808 in words is "two billion, one hundred sixty-four million, five hundred forty-one thousand, eight hundred eight".