2129600 has 84 divisors (see below), whose sum is σ = 5763768. Its totient is φ = 774400.

The previous prime is 2129599. The next prime is 2129627. The reversal of 2129600 is 69212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193595 + ... + 193605.

2^2129600 is an apocalyptic number.

2129600 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 2129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881884).

2129600 is an abundant number, since it is smaller than the sum of its proper divisors (3634168).

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

2129600 is an equidigital number, since it uses as much as digits as its factorization.

2129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2129600 is about 1459.3149077564. The cubic root of 2129600 is about 128.6567804814.

The spelling of 2129600 in words is "two million, one hundred twenty-nine thousand, six hundred".