2120000 has 70 divisors (see below), whose sum is σ = 5356098. Its totient is φ = 832000.

The previous prime is 2119969. The next prime is 2120009. The reversal of 2120000 is 212.

It can be written as a sum of positive squares in 5 ways, for example, as 602176 + 1517824 = 776^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39974 + ... + 40026.

2^2120000 is an apocalyptic number.

2120000 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 2120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678049).

2120000 is an abundant number, since it is smaller than the sum of its proper divisors (3236098).

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

2120000 is an frugal number, since it uses more digits than its factorization.

2120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2120000 is about 1456.0219778561. The cubic root of 2120000 is about 128.4631657712.

Adding to 2120000 its reverse (212), we get a palindrome (2120212).

Multiplying 2120000 by its reverse (212), we get a square (449440000 = 21200²).

2120000 divided by its reverse (212) gives a 4-th power (10000 = 10⁴).

The spelling of 2120000 in words is "two million, one hundred twenty thousand".