2306838528 has 260 divisors, whose sum is σ = 7314399180. Its totient is φ = 721944576.

The previous prime is 2306838503. The next prime is 2306838533. The reversal of 2306838528 is 8258386032.

2306838528 is a `hidden beast` number, since 2 + 30 + 68 + 38 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 339738624 = 44352^2 + 18432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5639988 + ... + 5640396.

Almost surely, 2^2306838528 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 2306838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657199590).

2306838528 is an abundant number, since it is smaller than the sum of its proper divisors (5007560652).

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

2306838528 is an equidigital number, since it uses as much as digits as its factorization.

2306838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2306838528 is about 48029.5588986616. The cubic root of 2306838528 is about 1321.3130735487.

The spelling of 2306838528 in words is "two billion, three hundred six million, eight hundred thirty-eight thousand, five hundred twenty-eight".