2146000 has 80 divisors (see below), whose sum is σ = 5513040. Its totient is φ = 806400.

The previous prime is 2145991. The next prime is 2146003. The reversal of 2146000 is 6412.

It can be written as a sum of positive squares in 8 ways, for example, as 274576 + 1871424 = 524^2 + 1368^2 .

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 (2146003) 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, 57982 + ... + 58018.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2^2146000 is an apocalyptic number.

2146000 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 2146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756520).

2146000 is an abundant number, since it is smaller than the sum of its proper divisors (3367040).

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

2146000 is a wasteful number, since it uses less digits than its factorization.

2146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2146000 is about 1464.9232061784. The cubic root of 2146000 is about 128.9861972693.

The spelling of 2146000 in words is "two million, one hundred forty-six thousand".