2000302120 has 64 divisors (see below), whose sum is σ = 4585248000. Its totient is φ = 785211648.

The previous prime is 2000302091. The next prime is 2000302123. The reversal of 2000302120 is 212030002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2000302097 and 2000302106.

It is not an unprimeable number, because it can be changed into a prime (2000302123) 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, 544851 + ... + 548509.

It is an arithmetic number, because the mean of its divisors is an integer number (71644500).

Almost surely, 2^2000302120 is an apocalyptic number.

2000302120 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 2000302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292624000).

2000302120 is an abundant number, since it is smaller than the sum of its proper divisors (2584945880).

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

2000302120 is a wasteful number, since it uses less digits than its factorization.

2000302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2000302120 is about 44724.7372267295. The cubic root of 2000302120 is about 1259.9844879253.

Adding to 2000302120 its reverse (212030002), we get a palindrome (2212332122).

The spelling of 2000302120 in words is "two billion, three hundred two thousand, one hundred twenty".