2000302320 has 80 divisors (see below), whose sum is σ = 6219066240. Its totient is φ = 531854592.

The previous prime is 2000302319. The next prime is 2000302351. The reversal of 2000302320 is 232030002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000302296 and 2000302305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71271 + ... + 95289.

It is an arithmetic number, because the mean of its divisors is an integer number (77738328).

Almost surely, 2^2000302320 is an apocalyptic number.

2000302320 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 2000302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109533120).

2000302320 is an abundant number, since it is smaller than the sum of its proper divisors (4218763920).

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

2000302320 is a wasteful number, since it uses less digits than its factorization.

2000302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24382 (or 24376 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2000302320 is about 44724.7394626285. The cubic root of 2000302320 is about 1259.9845299184.

Adding to 2000302320 its reverse (232030002), we get a palindrome (2232332322).

The spelling of 2000302320 in words is "two billion, three hundred two thousand, three hundred twenty".