2312138304 has 448 divisors, whose sum is σ = 8193024000. Its totient is φ = 638765568.

The previous prime is 2312138299. The next prime is 2312138321. The reversal of 2312138304 is 4038312132.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27857047 + ... + 27857129.

It is an arithmetic number, because the mean of its divisors is an integer number (18288000).

Almost surely, 2^2312138304 is an apocalyptic number.

2312138304 is a gapful number since it is divisible by the number (24) 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 2312138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512000).

2312138304 is an abundant number, since it is smaller than the sum of its proper divisors (5880885696).

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

2312138304 is an equidigital number, since it uses as much as digits as its factorization.

2312138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2312138304 is about 48084.6992711819. The cubic root of 2312138304 is about 1322.3241698146.

It can be divided in two parts, 23121 and 38304, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 2312138304 in words is "two billion, three hundred twelve million, one hundred thirty-eight thousand, three hundred four".