2163400 has 48 divisors (see below), whose sum is σ = 5217300. Its totient is φ = 833280.

The previous prime is 2163361. The next prime is 2163401. The reversal of 2163400 is 43612.

It can be written as a sum of positive squares in 6 ways, for example, as 850084 + 1313316 = 922^2 + 1146^2 .

It is not an unprimeable number, because it can be changed into a prime (2163401) 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, 5614 + ... + 5986.

2^2163400 is an apocalyptic number.

2163400 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 2163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608650).

2163400 is an abundant number, since it is smaller than the sum of its proper divisors (3053900).

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

2163400 is a wasteful number, since it uses less digits than its factorization.

2163400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2163400 is about 1470.8500943332. The cubic root of 2163400 is about 129.3338706417. Note that the first 3 decimals are identical.

The spelling of 2163400 in words is "two million, one hundred sixty-three thousand, four hundred".