2206400 has 84 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 752640.

The previous prime is 2206387. The next prime is 2206403. The reversal of 2206400 is 46022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11102 + ... + 11298.

2^2206400 is an apocalyptic number.

2206400 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 2206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2206400 is an abundant number, since it is smaller than the sum of its proper divisors (4029808).

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

2206400 is a wasteful number, since it uses less digits than its factorization.

2206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2206400 is about 1485.3955702102. The cubic root of 2206400 is about 130.1851405447.

The spelling of 2206400 in words is "two million, two hundred six thousand, four hundred".