2114541312 has 288 divisors, whose sum is σ = 6510712320. Its totient is φ = 603832320.

The previous prime is 2114541301. The next prime is 2114541329. The reversal of 2114541312 is 2131454112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13468338 + ... + 13468494.

It is an arithmetic number, because the mean of its divisors is an integer number (22606640).

Almost surely, 2^2114541312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255356160).

2114541312 is an abundant number, since it is smaller than the sum of its proper divisors (4396171008).

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

2114541312 is a wasteful number, since it uses less digits than its factorization.

2114541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 2114541312 is about 45984.1419622026. The cubic root of 2114541312 is about 1283.5281308769.

Adding to 2114541312 its reverse (2131454112), we get a palindrome (4245995424).

The spelling of 2114541312 in words is "two billion, one hundred fourteen million, five hundred forty-one thousand, three hundred twelve".