2053000 has 32 divisors (see below), whose sum is σ = 4806360. Its totient is φ = 820800.

The previous prime is 2052989. The next prime is 2053001. The reversal of 2053000 is 3502.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 1435204 = 786^2 + 1198^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2053001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 2026.

2^2053000 is an apocalyptic number.

2053000 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 2053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403180).

2053000 is an abundant number, since it is smaller than the sum of its proper divisors (2753360).

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

2053000 is a wasteful number, since it uses less digits than its factorization.

2053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2053000 is about 1432.8293687666. The cubic root of 2053000 is about 127.0953465905.

Adding to 2053000 its reverse (3502), we get a palindrome (2056502).

The spelling of 2053000 in words is "two million, fifty-three thousand".