2164264000 has 112 divisors (see below), whose sum is σ = 5416997040. Its totient is φ = 856473600.

The previous prime is 2164263973. The next prime is 2164264021. The reversal of 2164264000 is 4624612.

It can be written as a sum of positive squares in 8 ways, for example, as 622602304 + 1541661696 = 24952^2 + 39264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774606 + ... + 777394.

It is an arithmetic number, because the mean of its divisors is an integer number (48366045).

Almost surely, 2^2164264000 is an apocalyptic number.

2164264000 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 2164264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708498520).

2164264000 is an abundant number, since it is smaller than the sum of its proper divisors (3252733040).

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

2164264000 is an equidigital number, since it uses as much as digits as its factorization.

2164264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2164264000 is about 46521.6508735449. The cubic root of 2164264000 is about 1293.5108576477.

Adding to 2164264000 its reverse (4624612), we get a palindrome (2168888612).

The spelling of 2164264000 in words is "two billion, one hundred sixty-four million, two hundred sixty-four thousand".