2315111200 has 72 divisors (see below), whose sum is σ = 5731508160. Its totient is φ = 912979200.

The previous prime is 2315111159. The next prime is 2315111203. The reversal of 2315111200 is 21115132.

2315111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2315111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36421 + ... + 77179.

It is an arithmetic number, because the mean of its divisors is an integer number (79604280).

Almost surely, 2^2315111200 is an apocalyptic number.

2315111200 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 2315111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865754080).

2315111200 is an abundant number, since it is smaller than the sum of its proper divisors (3416396960).

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

2315111200 is a wasteful number, since it uses less digits than its factorization.

2315111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40850 (or 40837 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 2315111200 is about 48115.6024590777. The cubic root of 2315111200 is about 1322.8906654226.

Adding to 2315111200 its reverse (21115132), we get a palindrome (2336226332).

The spelling of 2315111200 in words is "two billion, three hundred fifteen million, one hundred eleven thousand, two hundred".