2301384020 has 48 divisors (see below), whose sum is σ = 5302901520. Its totient is φ = 833703936.

The previous prime is 2301384013. The next prime is 2301384023. The reversal of 2301384020 is 204831032.

It can be written as a sum of positive squares in 8 ways, for example, as 504811024 + 1796572996 = 22468^2 + 42386^2 .

It is a super-2 number, since 2×2301384020² = 10592736815022720800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301384023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69725 + ... + 97284.

It is an arithmetic number, because the mean of its divisors is an integer number (110477115).

Almost surely, 2^2301384020 is an apocalyptic number.

2301384020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301384020 is an abundant number, since it is smaller than the sum of its proper divisors (3001517500).

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

2301384020 is a wasteful number, since it uses less digits than its factorization.

2301384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167084 (or 167082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2301384020 is about 47972.7424690313. The cubic root of 2301384020 is about 1320.2708389768.

The spelling of 2301384020 in words is "two billion, three hundred one million, three hundred eighty-four thousand, twenty".