2338306656 has 288 divisors, whose sum is σ = 7534205280. Its totient is φ = 632217600.

The previous prime is 2338306643. The next prime is 2338306673. The reversal of 2338306656 is 6566038332.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8321236 + ... + 8321516.

It is an arithmetic number, because the mean of its divisors is an integer number (26160435).

Almost surely, 2^2338306656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767102640).

2338306656 is an abundant number, since it is smaller than the sum of its proper divisors (5195898624).

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

2338306656 is a wasteful number, since it uses less digits than its factorization.

2338306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 2338306656 is about 48356.0405326987. The cubic root of 2338306656 is about 1327.2940736964.

The spelling of 2338306656 in words is "two billion, three hundred thirty-eight million, three hundred six thousand, six hundred fifty-six".