2129000 has 32 divisors (see below), whose sum is σ = 4984200. Its totient is φ = 851200.

The previous prime is 2128993. The next prime is 2129003. The reversal of 2129000 is 9212.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 1737124 = 626^2 + 1318^2 .

It is not an unprimeable number, because it can be changed into a prime (2129003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 2064.

2^2129000 is an apocalyptic number.

2129000 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 2129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492100).

2129000 is an abundant number, since it is smaller than the sum of its proper divisors (2855200).

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

2129000 is a wasteful number, since it uses less digits than its factorization.

2129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2129000 is about 1459.1093173577. The cubic root of 2129000 is about 128.6446966285.

The spelling of 2129000 in words is "two million, one hundred twenty-nine thousand".