2214147312 has 200 divisors, whose sum is σ = 6968397744. Its totient is φ = 674666496.

The previous prime is 2214147307. The next prime is 2214147319. The reversal of 2214147312 is 2137414122.

2214147312 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214147319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1903243 + ... + 1904405.

Almost surely, 2^2214147312 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 2214147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484198872).

2214147312 is an abundant number, since it is smaller than the sum of its proper divisors (4754250432).

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

2214147312 is a wasteful number, since it uses less digits than its factorization.

2214147312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2214147312 is about 47054.7267763824. The cubic root of 2214147312 is about 1303.3733517858.

The spelling of 2214147312 in words is "two billion, two hundred fourteen million, one hundred forty-seven thousand, three hundred twelve".