2309315040 has 288 divisors, whose sum is σ = 8201269440. Its totient is φ = 591224832.

The previous prime is 2309315033. The next prime is 2309315053. The reversal of 2309315040 is 405139032.

2309315040 is a `hidden beast` number, since 2 + 309 + 315 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2309314995 and 2309315013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741677 + ... + 4742163.

It is an arithmetic number, because the mean of its divisors is an integer number (28476630).

Almost surely, 2^2309315040 is an apocalyptic number.

2309315040 is a gapful number since it is divisible by the number (20) 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 2309315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100634720).

2309315040 is an abundant number, since it is smaller than the sum of its proper divisors (5891954400).

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

2309315040 is a wasteful number, since it uses less digits than its factorization.

2309315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2309315040 is about 48055.3331067427. Note that the first 3 decimals coincide. The cubic root of 2309315040 is about 1321.7857373791.

The spelling of 2309315040 in words is "two billion, three hundred nine million, three hundred fifteen thousand, forty".