2002304320 has 56 divisors (see below), whose sum is σ = 4802895144. Its totient is φ = 795058176.

The previous prime is 2002304281. The next prime is 2002304327. The reversal of 2002304320 is 234032002.

It can be written as a sum of positive squares in 4 ways, for example, as 698227776 + 1304076544 = 26424^2 + 36112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2002304294 and 2002304303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002304327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21004 + ... + 66676.

Almost surely, 2^2002304320 is an apocalyptic number.

2002304320 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 2002304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401447572).

2002304320 is an abundant number, since it is smaller than the sum of its proper divisors (2800590824).

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

2002304320 is a wasteful number, since it uses less digits than its factorization.

2002304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45827 (or 45817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2002304320 is about 44747.1152142795. The cubic root of 2002304320 is about 1260.4047410582.

Adding to 2002304320 its reverse (234032002), we get a palindrome (2236336322).

The spelling of 2002304320 in words is "two billion, two million, three hundred four thousand, three hundred twenty".