2081615072 has 48 divisors (see below), whose sum is σ = 4345084800. Its totient is φ = 978894720.

The previous prime is 2081615051. The next prime is 2081615089. The reversal of 2081615072 is 2705161802.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72197 + ... + 96827.

It is an arithmetic number, because the mean of its divisors is an integer number (90522600).

Almost surely, 2^2081615072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172542400).

2081615072 is an abundant number, since it is smaller than the sum of its proper divisors (2263469728).

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

2081615072 is a wasteful number, since it uses less digits than its factorization.

2081615072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24799 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2081615072 is about 45624.7199662639. The cubic root of 2081615072 is about 1276.8311654484.

Adding to 2081615072 its reverse (2705161802), we get a palindrome (4786776874).

The spelling of 2081615072 in words is "two billion, eighty-one million, six hundred fifteen thousand, seventy-two".