2182815072 has 72 divisors (see below), whose sum is σ = 6358814280. Its totient is φ = 709854720.

The previous prime is 2182815067. The next prime is 2182815073. The reversal of 2182815072 is 2705182812.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182815073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80622 + ... + 104237.

It is an arithmetic number, because the mean of its divisors is an integer number (88316865).

Almost surely, 2^2182815072 is an apocalyptic number.

It is an amenable number.

2182815072 is an abundant number, since it is smaller than the sum of its proper divisors (4175999208).

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

2182815072 is a wasteful number, since it uses less digits than its factorization.

2182815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184916 (or 184905 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2182815072 is about 46720.6065029126. The cubic root of 2182815072 is about 1297.1961407691.

Adding to 2182815072 its reverse (2705182812), we get a palindrome (4887997884).

The spelling of 2182815072 in words is "two billion, one hundred eighty-two million, eight hundred fifteen thousand, seventy-two".