2338165440 has 448 divisors, whose sum is σ = 9027688320. Its totient is φ = 573308928.

The previous prime is 2338165439. The next prime is 2338165493. The reversal of 2338165440 is 445618332.

2338165440 is a `hidden beast` number, since 2 + 33 + 81 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2338165395 and 2338165404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097792 + ... + 9098048.

It is an arithmetic number, because the mean of its divisors is an integer number (20151090).

Almost surely, 2^2338165440 is an apocalyptic number.

2338165440 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 2338165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513844160).

2338165440 is an abundant number, since it is smaller than the sum of its proper divisors (6689522880).

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

2338165440 is an equidigital number, since it uses as much as digits as its factorization.

2338165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2338165440 is about 48354.5803414733. The cubic root of 2338165440 is about 1327.2673536577.

The spelling of 2338165440 in words is "two billion, three hundred thirty-eight million, one hundred sixty-five thousand, four hundred forty".