2112400 has 30 divisors (see below), whose sum is σ = 5076002. Its totient is φ = 844800.

The previous prime is 2112353. The next prime is 2112413. The reversal of 2112400 is 42112.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 2108304 = 64^2 + 1452^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2241 + ... + 3040.

2^2112400 is an apocalyptic number.

2112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112400 is an abundant number, since it is smaller than the sum of its proper divisors (2963602).

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

2112400 is a wasteful number, since it uses less digits than its factorization.

2112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2112400 is about 1453.4097839219. The cubic root of 2112400 is about 128.3094725227.

Adding to 2112400 its reverse (42112), we get a palindrome (2154512).

It can be divided in two parts, 21 and 12400, that added together give a palindrome (12421).

The spelling of 2112400 in words is "two million, one hundred twelve thousand, four hundred".