2334725760 has 128 divisors (see below), whose sum is σ = 7492152960. Its totient is φ = 618393600.

The previous prime is 2334725749. The next prime is 2334725779. The reversal of 2334725760 is 675274332.

It is a Cunningham number, because it is equal to 48319²-1.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 285894 + ... + 293946.

It is an arithmetic number, because the mean of its divisors is an integer number (58532445).

Almost surely, 2^2334725760 is an apocalyptic number.

2334725760 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 2334725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746076480).

2334725760 is an abundant number, since it is smaller than the sum of its proper divisors (5157427200).

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

2334725760 is a wasteful number, since it uses less digits than its factorization.

2334725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 2334725760 is about 48318.9999896521. Note that the first 4 decimals coincide. The cubic root of 2334725760 is about 1326.6161856614.

The spelling of 2334725760 in words is "two billion, three hundred thirty-four million, seven hundred twenty-five thousand, seven hundred sixty".