2301180768 has 72 divisors (see below), whose sum is σ = 6608858256. Its totient is φ = 759456000.

The previous prime is 2301180767. The next prime is 2301180781. The reversal of 2301180768 is 8670811032.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2301180767) 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 11 ways as a sum of consecutive naturals, for example, 10468 + ... + 68643.

It is an arithmetic number, because the mean of its divisors is an integer number (91789698).

Almost surely, 2^2301180768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304429128).

2301180768 is an abundant number, since it is smaller than the sum of its proper divisors (4307677488).

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

2301180768 is a wasteful number, since it uses less digits than its factorization.

2301180768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79228 (or 79217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2301180768 is about 47970.6240109507. The cubic root of 2301180768 is about 1320.2319702516.

The spelling of 2301180768 in words is "two billion, three hundred one million, one hundred eighty thousand, seven hundred sixty-eight".