2533000 has 64 divisors (see below), whose sum is σ = 6318000. Its totient is φ = 947200.

The previous prime is 2532991. The next prime is 2533007. The reversal of 2533000 is 3352.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 2502724 = 174^2 + 1582^2 .

It is not an unprimeable number, because it can be changed into a prime (2533007) 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, 16926 + ... + 17074.

2^2533000 is an apocalyptic number.

2533000 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 2533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159000).

2533000 is an abundant number, since it is smaller than the sum of its proper divisors (3785000).

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

2533000 is a wasteful number, since it uses less digits than its factorization.

2533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 2533000 is about 1591.5401345866. The cubic root of 2533000 is about 136.3154442499.

Adding to 2533000 its reverse (3352), we get a palindrome (2536352).

The spelling of 2533000 in words is "two million, five hundred thirty-three thousand".