2338744960 has 128 divisors (see below), whose sum is σ = 6030158400. Its totient is φ = 864460800.

The previous prime is 2338744943. The next prime is 2338744963. The reversal of 2338744960 is 694478332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2338744960.

It is not an unprimeable number, because it can be changed into a prime (2338744963) 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 15 ways as a sum of consecutive naturals, for example, 496215 + ... + 500905.

Almost surely, 2^2338744960 is an apocalyptic number.

2338744960 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 2338744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015079200).

2338744960 is an abundant number, since it is smaller than the sum of its proper divisors (3691413440).

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

2338744960 is a wasteful number, since it uses less digits than its factorization.

2338744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The square root of 2338744960 is about 48360.5723704755. The cubic root of 2338744960 is about 1327.3770000817.

The spelling of 2338744960 in words is "two billion, three hundred thirty-eight million, seven hundred forty-four thousand, nine hundred sixty".