2340756000 has 576 divisors, whose sum is σ = 9493376256. Its totient is φ = 540672000.

The previous prime is 2340755983. The next prime is 2340756013. The reversal of 2340756000 is 6570432.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 9107872 + ... + 9108128.

It is an arithmetic number, because the mean of its divisors is an integer number (16481556).

Almost surely, 2^2340756000 is an apocalyptic number.

2340756000 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 2340756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746688128).

2340756000 is an abundant number, since it is smaller than the sum of its proper divisors (7152620256).

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

2340756000 is a wasteful number, since it uses less digits than its factorization.

2340756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2340756000 is about 48381.3600470264. The cubic root of 2340756000 is about 1327.7573527252.

The spelling of 2340756000 in words is "two billion, three hundred forty million, seven hundred fifty-six thousand".