2338560000 has 720 divisors, whose sum is σ = 9978368400. Its totient is φ = 516096000.

The previous prime is 2338559987. The next prime is 2338560013. The reversal of 2338560000 is 658332.

2338560000 is a `hidden beast` number, since 23 + 38 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2338559987) and next prime (2338560013).

It is a tau number, because it is divible by the number of its divisors (720).

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 59 ways as a sum of consecutive naturals, for example, 80639986 + ... + 80640014.

It is an arithmetic number, because the mean of its divisors is an integer number (13858845).

Almost surely, 2^2338560000 is an apocalyptic number.

2338560000 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 2338560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989184200).

2338560000 is an abundant number, since it is smaller than the sum of its proper divisors (7639808400).

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

2338560000 is an equidigital number, since it uses as much as digits as its factorization.

2338560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2338560000 is about 48358.6600310637. The cubic root of 2338560000 is about 1327.3420072221.

The spelling of 2338560000 in words is "two billion, three hundred thirty-eight million, five hundred sixty thousand".