2264344320 has 144 divisors (see below), whose sum is σ = 8264954880. Its totient is φ = 517558272.

The previous prime is 2264344307. The next prime is 2264344321. The reversal of 2264344320 is 234434622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264344321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15240 + ... + 68999.

It is an arithmetic number, because the mean of its divisors is an integer number (57395520).

Almost surely, 2^2264344320 is an apocalyptic number.

2264344320 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 2264344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132477440).

2264344320 is an abundant number, since it is smaller than the sum of its proper divisors (6000610560).

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

2264344320 is an equidigital number, since it uses as much as digits as its factorization.

2264344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84270 (or 84256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2264344320 is about 47585.1270881985. The cubic root of 2264344320 is about 1313.1494487467.

Adding to 2264344320 its reverse (234434622), we get a palindrome (2498778942).

The spelling of 2264344320 in words is "two billion, two hundred sixty-four million, three hundred forty-four thousand, three hundred twenty".