2312727120 has 640 divisors, whose sum is σ = 9427968000. Its totient is φ = 515082240.

The previous prime is 2312727113. The next prime is 2312727127. The reversal of 2312727120 is 217272132.

It is an interprime number because it is at equal distance from previous prime (2312727113) and next prime (2312727127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312727127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21217626 + ... + 21217734.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^2312727120 is an apocalyptic number.

2312727120 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 2312727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984000).

2312727120 is an abundant number, since it is smaller than the sum of its proper divisors (7115240880).

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

2312727120 is a wasteful number, since it uses less digits than its factorization.

2312727120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2312727120 is about 48090.8215775110. The cubic root of 2312727120 is about 1322.4364092860.

Adding to 2312727120 its reverse (217272132), we get a palindrome (2529999252).

The spelling of 2312727120 in words is "two billion, three hundred twelve million, seven hundred twenty-seven thousand, one hundred twenty".