2032016544 has 144 divisors (see below), whose sum is σ = 6199895520. Its totient is φ = 653909760.

The previous prime is 2032016543. The next prime is 2032016561. The reversal of 2032016544 is 4456102302.

2032016544 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 1 + 654 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2032016543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220999 + ... + 230009.

It is an arithmetic number, because the mean of its divisors is an integer number (43054830).

Almost surely, 2^2032016544 is an apocalyptic number.

2032016544 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 2032016544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099947760).

2032016544 is an abundant number, since it is smaller than the sum of its proper divisors (4167878976).

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

2032016544 is an equidigital number, since it uses as much as digits as its factorization.

2032016544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2032016544 is about 45077.8941832912. The cubic root of 2032016544 is about 1266.6085437165.

Adding to 2032016544 its reverse (4456102302), we get a palindrome (6488118846).

It can be divided in two parts, 20320 and 16544, that added together give a square (36864 = 192²).

The spelling of 2032016544 in words is "two billion, thirty-two million, sixteen thousand, five hundred forty-four".