2167881680 has 20 divisors (see below), whose sum is σ = 5040325092. Its totient is φ = 867152640.

The previous prime is 2167881647. The next prime is 2167881713. The reversal of 2167881680 is 861887612.

It is a happy number.

2167881680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2167881647) and next prime (2167881713).

It can be written as a sum of positive squares in 2 ways, for example, as 428324416 + 1739557264 = 20696^2 + 41708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13549181 + ... + 13549340.

Almost surely, 2^2167881680 is an apocalyptic number.

2167881680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2167881680 is an abundant number, since it is smaller than the sum of its proper divisors (2872443412).

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

2167881680 is a wasteful number, since it uses less digits than its factorization.

2167881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27098534 (or 27098528 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The square root of 2167881680 is about 46560.5163201612. The cubic root of 2167881680 is about 1294.2311800346.

The spelling of 2167881680 in words is "two billion, one hundred sixty-seven million, eight hundred eighty-one thousand, six hundred eighty".