2301258960 has 960 divisors, whose sum is σ = 10815307776. Its totient is φ = 423014400.

The previous prime is 2301258937. The next prime is 2301258961. The reversal of 2301258960 is 698521032.

2301258960 is a `hidden beast` number, since 2 + 3 + 0 + 12 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301258961) 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 191 ways as a sum of consecutive naturals, for example, 22342269 + ... + 22342371.

Almost surely, 2^2301258960 is an apocalyptic number.

2301258960 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 2301258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407653888).

2301258960 is an abundant number, since it is smaller than the sum of its proper divisors (8514048816).

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

2301258960 is a wasteful number, since it uses less digits than its factorization.

2301258960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2301258960 is about 47971.4390028067. The cubic root of 2301258960 is about 1320.2469235038.

Adding to 2301258960 its reverse (698521032), we get a palindrome (2999779992).

The spelling of 2301258960 in words is "two billion, three hundred one million, two hundred fifty-eight thousand, nine hundred sixty".