2198000 has 80 divisors (see below), whose sum is σ = 6112704. Its totient is φ = 748800.

The previous prime is 2197973. The next prime is 2198003. The reversal of 2198000 is 8912.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13922 + ... + 14078.

2^2198000 is an apocalyptic number.

2198000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056352).

2198000 is an abundant number, since it is smaller than the sum of its proper divisors (3914704).

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

2198000 is a wasteful number, since it uses less digits than its factorization.

2198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2198000 is about 1482.5653442597. The cubic root of 2198000 is about 130.0197208741.

The spelling of 2198000 in words is "two million, one hundred ninety-eight thousand".