2198167680 has 64 divisors (see below), whose sum is σ = 7006665600. Its totient is φ = 586177536.

The previous prime is 2198167613. The next prime is 2198167681. The reversal of 2198167680 is 867618912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2198167680² = 9663882298793164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2198167681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570520 + ... + 574359.

It is an arithmetic number, because the mean of its divisors is an integer number (109479150).

Almost surely, 2^2198167680 is an apocalyptic number.

2198167680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198167680 is an abundant number, since it is smaller than the sum of its proper divisors (4808497920).

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

2198167680 is a wasteful number, since it uses less digits than its factorization.

2198167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144901 (or 1144889 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 2198167680 is about 46884.6209326683. The cubic root of 2198167680 is about 1300.2302708465.

The spelling of 2198167680 in words is "two billion, one hundred ninety-eight million, one hundred sixty-seven thousand, six hundred eighty".