2128900 has 36 divisors (see below), whose sum is σ = 4708900. Its totient is φ = 835200.

The previous prime is 2128891. The next prime is 2128933. The reversal of 2128900 is 98212.

2128900 = T₃₄ + T₃₅ + ... + T₂₃₃.

It can be written as a sum of positive squares in 6 ways, for example, as 213444 + 1915456 = 462^2 + 1384^2 .

It is an unprimeable number.

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, 5926 + ... + 6274.

2^2128900 is an apocalyptic number.

2128900 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 2128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354450).

2128900 is an abundant number, since it is smaller than the sum of its proper divisors (2580000).

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

2128900 is a wasteful number, since it uses less digits than its factorization.

2128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2128900 is about 1459.0750494748. The cubic root of 2128900 is about 128.6426824323.

The spelling of 2128900 in words is "two million, one hundred twenty-eight thousand, nine hundred".