2205182640 has 80 divisors (see below), whose sum is σ = 6840999648. Its totient is φ = 587624448.

The previous prime is 2205182633. The next prime is 2205182641. The reversal of 2205182640 is 462815022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2205182598 and 2205182607.

It is not an unprimeable number, because it can be changed into a prime (2205182641) 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 15 ways as a sum of consecutive naturals, for example, 471192 + ... + 475848.

Almost surely, 2^2205182640 is an apocalyptic number.

2205182640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205182640 is an abundant number, since it is smaller than the sum of its proper divisors (4635817008).

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

2205182640 is a wasteful number, since it uses less digits than its factorization.

2205182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2205182640 is about 46959.3722274904. The cubic root of 2205182640 is about 1301.6119333979.

Adding to 2205182640 its reverse (462815022), we get a palindrome (2667997662).

The spelling of 2205182640 in words is "two billion, two hundred five million, one hundred eighty-two thousand, six hundred forty".