2338398720 has 560 divisors, whose sum is σ = 9660720960. Its totient is φ = 531505152.

The previous prime is 2338398701. The next prime is 2338398721. The reversal of 2338398720 is 278938332.

It is a happy number.

2338398720 is a `hidden beast` number, since 233 + 8 + 398 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2338398721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063591 + ... + 13063769.

Almost surely, 2^2338398720 is an apocalyptic number.

2338398720 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 2338398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830360480).

2338398720 is an abundant number, since it is smaller than the sum of its proper divisors (7322322240).

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

2338398720 is an frugal number, since it uses more digits than its factorization.

2338398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2338398720 is about 48356.9924623110. The cubic root of 2338398720 is about 1327.3114929112.

The spelling of 2338398720 in words is "two billion, three hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".