2214129344 has 112 divisors (see below), whose sum is σ = 5143560960. Its totient is φ = 926069760.

The previous prime is 2214129301. The next prime is 2214129361. The reversal of 2214129344 is 4439214122.

2214129344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2214129344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5576954 + ... + 5577350.

Almost surely, 2^2214129344 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 2214129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571780480).

2214129344 is an abundant number, since it is smaller than the sum of its proper divisors (2929431616).

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

2214129344 is a wasteful number, since it uses less digits than its factorization.

2214129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 2214129344 is about 47054.5358493738. The cubic root of 2214129344 is about 1303.3698261132.

The spelling of 2214129344 in words is "two billion, two hundred fourteen million, one hundred twenty-nine thousand, three hundred forty-four".