2164312020 has 144 divisors (see below), whose sum is σ = 6590529792. Its totient is φ = 530449920.

The previous prime is 2164312019. The next prime is 2164312093. The reversal of 2164312020 is 202134612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674309 + ... + 4674771.

It is an arithmetic number, because the mean of its divisors is an integer number (45767568).

Almost surely, 2^2164312020 is an apocalyptic number.

2164312020 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 2164312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295264896).

2164312020 is an abundant number, since it is smaller than the sum of its proper divisors (4426217772).

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

2164312020 is a wasteful number, since it uses less digits than its factorization.

2164312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2164312020 is about 46522.1669744650. The cubic root of 2164312020 is about 1293.5204242459.

Adding to 2164312020 its reverse (202134612), we get a palindrome (2366446632).

The spelling of 2164312020 in words is "two billion, one hundred sixty-four million, three hundred twelve thousand, twenty".