2162000 has 80 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 809600.

The previous prime is 2161987. The next prime is 2162003. The reversal of 2162000 is 2612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45977 + ... + 46023.

2^2162000 is an apocalyptic number.

2162000 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 2162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2162000 is an abundant number, since it is smaller than the sum of its proper divisors (3409072).

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

2162000 is a wasteful number, since it uses less digits than its factorization.

2162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2162000 is about 1470.3741020570. The cubic root of 2162000 is about 129.3059660331.

Adding to 2162000 its reverse (2612), we get a palindrome (2164612).

The spelling of 2162000 in words is "two million, one hundred sixty-two thousand".