2338374528 has 256 divisors, whose sum is σ = 7949145600. Its totient is φ = 662888448.

The previous prime is 2338374481. The next prime is 2338374539. The reversal of 2338374528 is 8254738332.

2338374528 is a `hidden beast` number, since 23 + 38 + 3 + 74 + 528 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (768).

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 31 ways as a sum of consecutive naturals, for example, 3943000 + ... + 3943592.

It is an arithmetic number, because the mean of its divisors is an integer number (31051350).

Almost surely, 2^2338374528 is an apocalyptic number.

2338374528 is a gapful number since it is divisible by the number (28) 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 2338374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974572800).

2338374528 is an abundant number, since it is smaller than the sum of its proper divisors (5610771072).

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

2338374528 is a wasteful number, since it uses less digits than its factorization.

2338374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2338374528 is about 48356.7423220382. The cubic root of 2338374528 is about 1327.3069156436.

The spelling of 2338374528 in words is "two billion, three hundred thirty-eight million, three hundred seventy-four thousand, five hundred twenty-eight".