2002404330 has 192 divisors, whose sum is σ = 5712583968. Its totient is φ = 484638720.

The previous prime is 2002404329. The next prime is 2002404331. The reversal of 2002404330 is 334042002.

It is an interprime number because it is at equal distance from previous prime (2002404329) and next prime (2002404331).

It can be written as a sum of positive squares in 16 ways, for example, as 10478169 + 1991926161 = 3237^2 + 44631^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2002404331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8593894 + ... + 8594126.

Almost surely, 2^2002404330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002404330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856291984).

2002404330 is an abundant number, since it is smaller than the sum of its proper divisors (3710179638).

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

2002404330 is a wasteful number, since it uses less digits than its factorization.

2002404330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2002404330 is about 44748.2327025325. The cubic root of 2002404330 is about 1260.4257253774.

Adding to 2002404330 its reverse (334042002), we get a palindrome (2336446332).

The spelling of 2002404330 in words is "two billion, two million, four hundred four thousand, three hundred thirty".