2308645152 has 360 divisors, whose sum is σ = 7920266508. Its totient is φ = 656916480.

The previous prime is 2308645151. The next prime is 2308645153. The reversal of 2308645152 is 2515468032.

2308645152 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 645 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2308645151) and next prime (2308645153).

It can be written as a sum of positive squares in 2 ways, for example, as 2295943056 + 12702096 = 47916^2 + 3564^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2308645151) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5331528 + ... + 5331960.

Almost surely, 2^2308645152 is an apocalyptic number.

2308645152 is a gapful number since it is divisible by the number (22) 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 2308645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960133254).

2308645152 is an abundant number, since it is smaller than the sum of its proper divisors (5611621356).

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

2308645152 is a wasteful number, since it uses less digits than its factorization.

2308645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2308645152 is about 48048.3626359942. The cubic root of 2308645152 is about 1321.6579167887.

The spelling of 2308645152 in words is "two billion, three hundred eight million, six hundred forty-five thousand, one hundred fifty-two".