2016445344 has 96 divisors (see below), whose sum is σ = 5785468416. Its totient is φ = 612188160.

The previous prime is 2016445307. The next prime is 2016445363. The reversal of 2016445344 is 4435446102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30664 + ... + 70520.

It is an arithmetic number, because the mean of its divisors is an integer number (60265296).

Almost surely, 2^2016445344 is an apocalyptic number.

2016445344 is a gapful number since it is divisible by the number (24) 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 2016445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892734208).

2016445344 is an abundant number, since it is smaller than the sum of its proper divisors (3769023072).

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

2016445344 is a wasteful number, since it uses less digits than its factorization.

2016445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39918 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2016445344 is about 44904.8476670392. The cubic root of 2016445344 is about 1263.3649336101.

The spelling of 2016445344 in words is "two billion, sixteen million, four hundred forty-five thousand, three hundred forty-four".