2125000 has 56 divisors (see below), whose sum is σ = 5273370. Its totient is φ = 800000.

The previous prime is 2124973. The next prime is 2125001. The reversal of 2125000 is 5212.

It can be written as a sum of positive squares in 7 ways, for example, as 820836 + 1304164 = 906^2 + 1142^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124992 + ... + 125008.

2^2125000 is an apocalyptic number.

2125000 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 2125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636685).

2125000 is an abundant number, since it is smaller than the sum of its proper divisors (3148370).

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

2125000 is an frugal number, since it uses more digits than its factorization.

2125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2125000 is about 1457.7379737113. The cubic root of 2125000 is about 128.5640795329.

It can be divided in two parts, 2 and 125000, that multiplied together give a square (250000 = 500²).

The spelling of 2125000 in words is "two million, one hundred twenty-five thousand".