2083544064 has 132 divisors (see below), whose sum is σ = 6875856624. Its totient is φ = 595279872.

The previous prime is 2083543993. The next prime is 2083544083. The reversal of 2083544064 is 4604453802.

2083544064 is a `hidden beast` number, since 208 + 3 + 5 + 440 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 48364 + ... + 80660.

Almost surely, 2^2083544064 is an apocalyptic number.

2083544064 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 2083544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437928312).

2083544064 is an abundant number, since it is smaller than the sum of its proper divisors (4792312560).

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

2083544064 is a wasteful number, since it uses less digits than its factorization.

2083544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32330 (or 32309 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2083544064 is about 45645.8548391856. The cubic root of 2083544064 is about 1277.2254485101.

Adding to 2083544064 its reverse (4604453802), we get a palindrome (6687997866).

The spelling of 2083544064 in words is "two billion, eighty-three million, five hundred forty-four thousand, sixty-four".