2016272544 has 192 divisors, whose sum is σ = 6258446208. Its totient is φ = 560332800.

The previous prime is 2016272543. The next prime is 2016272569. The reversal of 2016272544 is 4452726102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2016272543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649124 + ... + 2649884.

It is an arithmetic number, because the mean of its divisors is an integer number (32596074).

Almost surely, 2^2016272544 is an apocalyptic number.

2016272544 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 2016272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129223104).

2016272544 is an abundant number, since it is smaller than the sum of its proper divisors (4242173664).

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

2016272544 is a wasteful number, since it uses less digits than its factorization.

2016272544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2016272544 is about 44902.9235573810. The cubic root of 2016272544 is about 1263.3288444102.

Adding to 2016272544 its reverse (4452726102), we get a palindrome (6468998646).

The spelling of 2016272544 in words is "two billion, sixteen million, two hundred seventy-two thousand, five hundred forty-four".