2301331120 has 80 divisors (see below), whose sum is σ = 5874543648. Its totient is φ = 831467520.

The previous prime is 2301331099. The next prime is 2301331139. The reversal of 2301331120 is 211331032.

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

It is a super-2 number, since 2×2301331120² = 10592249847760908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2301331094 and 2301331103.

It is an unprimeable number.

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, 129832 + ... + 146488.

Almost surely, 2^2301331120 is an apocalyptic number.

2301331120 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 2301331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937271824).

2301331120 is an abundant number, since it is smaller than the sum of its proper divisors (3573212528).

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

2301331120 is a wasteful number, since it uses less digits than its factorization.

2301331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16838 (or 16832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2301331120 is about 47972.1911111010. The cubic root of 2301331120 is about 1320.2607229101.

Adding to 2301331120 its reverse (211331032), we get a palindrome (2512662152).

The spelling of 2301331120 in words is "two billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty".