2002320000 has 480 divisors, whose sum is σ = 7539211680. Its totient is φ = 528768000.

The previous prime is 2002319989. The next prime is 2002320043. The reversal of 2002320000 is 232002.

2002320000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439949 + ... + 19440051.

It is an arithmetic number, because the mean of its divisors is an integer number (15706691).

Almost surely, 2^2002320000 is an apocalyptic number.

2002320000 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 2002320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769605840).

2002320000 is an abundant number, since it is smaller than the sum of its proper divisors (5536891680).

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

2002320000 is an frugal number, since it uses more digits than its factorization.

2002320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2002320000 is about 44747.2904207618. The cubic root of 2002320000 is about 1260.4080311166.

Adding to 2002320000 its reverse (232002), we get a palindrome (2002552002).

The spelling of 2002320000 in words is "two billion, two million, three hundred twenty thousand".