2214965984 has 144 divisors (see below), whose sum is σ = 5559902208. Its totient is φ = 850080000.

The previous prime is 2214965981. The next prime is 2214965993. The reversal of 2214965984 is 4895694122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214965981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923809 + ... + 1924959.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 2^2214965984 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 2214965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779951104).

2214965984 is an abundant number, since it is smaller than the sum of its proper divisors (3344936224).

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

2214965984 is a wasteful number, since it uses less digits than its factorization.

2214965984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 2214965984 is about 47063.4251197254. The cubic root of 2214965984 is about 1303.5339709971.

The spelling of 2214965984 in words is "two billion, two hundred fourteen million, nine hundred sixty-five thousand, nine hundred eighty-four".