2182045680 has 60 divisors (see below), whose sum is σ = 7328039160. Its totient is φ = 581878656.

The previous prime is 2182045667. The next prime is 2182045729. The reversal of 2182045680 is 865402812.

2182045680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2182045680² = 9522646699213324800, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1514590 + ... + 1516029.

It is an arithmetic number, because the mean of its divisors is an integer number (122133986).

Almost surely, 2^2182045680 is an apocalyptic number.

2182045680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182045680 is an abundant number, since it is smaller than the sum of its proper divisors (5145993480).

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

2182045680 is a wasteful number, since it uses less digits than its factorization.

2182045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030638 (or 3030629 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2182045680 is about 46712.3718087618. The cubic root of 2182045680 is about 1297.0437122785.

The spelling of 2182045680 in words is "two billion, one hundred eighty-two million, forty-five thousand, six hundred eighty".