2198400 has 96 divisors (see below), whose sum is σ = 7272600. Its totient is φ = 583680.

The previous prime is 2198377. The next prime is 2198401. The reversal of 2198400 is 48912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9486 + ... + 9714.

2^2198400 is an apocalyptic number.

2198400 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 2198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636300).

2198400 is an abundant number, since it is smaller than the sum of its proper divisors (5074200).

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

2198400 is a wasteful number, since it uses less digits than its factorization.

2198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2198400 is about 1482.7002394281. The cubic root of 2198400 is about 130.0276075489.

The spelling of 2198400 in words is "two million, one hundred ninety-eight thousand, four hundred".