2186444416 has 64 divisors (see below), whose sum is σ = 4708458720. Its totient is φ = 1005345792.

The previous prime is 2186444413. The next prime is 2186444431. The reversal of 2186444416 is 6144446812.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2186444413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468591 + ... + 473233.

Almost surely, 2^2186444416 is an apocalyptic number.

2186444416 is a gapful number since it is divisible by the number (26) 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 2186444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354229360).

2186444416 is an abundant number, since it is smaller than the sum of its proper divisors (2522014304).

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

2186444416 is a wasteful number, since it uses less digits than its factorization.

2186444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4941 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 2186444416 is about 46759.4313053527. The cubic root of 2186444416 is about 1297.9146875362.

The spelling of 2186444416 in words is "two billion, one hundred eighty-six million, four hundred forty-four thousand, four hundred sixteen".