2301045120 has 384 divisors, whose sum is σ = 9050745600. Its totient is φ = 533237760.

The previous prime is 2301045113. The next prime is 2301045139. The reversal of 2301045120 is 215401032.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2301045093 and 2301045102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456491 + ... + 1458069.

It is an arithmetic number, because the mean of its divisors is an integer number (23569650).

Almost surely, 2^2301045120 is an apocalyptic number.

2301045120 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 2301045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525372800).

2301045120 is an abundant number, since it is smaller than the sum of its proper divisors (6749700480).

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

2301045120 is a wasteful number, since it uses less digits than its factorization.

2301045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2301045120 is about 47969.2101248290. The cubic root of 2301045120 is about 1320.2060284470.

Adding to 2301045120 its reverse (215401032), we get a palindrome (2516446152).

The spelling of 2301045120 in words is "two billion, three hundred one million, forty-five thousand, one hundred twenty".