2164264344 has 96 divisors (see below), whose sum is σ = 6422878800. Its totient is φ = 652919040.

The previous prime is 2164264321. The next prime is 2164264363. The reversal of 2164264344 is 4434624612.

2164264344 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 2 + 643 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2164264299 and 2164264308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175402 + ... + 187334.

Almost surely, 2^2164264344 is an apocalyptic number.

2164264344 is a gapful number since it is divisible by the number (24) 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 2164264344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211439400).

2164264344 is an abundant number, since it is smaller than the sum of its proper divisors (4258614456).

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

2164264344 is a wasteful number, since it uses less digits than its factorization.

2164264344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185 (or 12178 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2164264344 is about 46521.6545707480. The cubic root of 2164264344 is about 1293.5109261803.

Adding to 2164264344 its reverse (4434624612), we get a palindrome (6598888956).

The spelling of 2164264344 in words is "two billion, one hundred sixty-four million, two hundred sixty-four thousand, three hundred forty-four".