2533200 has 60 divisors (see below), whose sum is σ = 8118528. Its totient is φ = 675200.

The previous prime is 2533199. The next prime is 2533211. The reversal of 2533200 is 23352.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2533200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 2255.

2^2533200 is an apocalyptic number.

2533200 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 2533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264).

2533200 is an abundant number, since it is smaller than the sum of its proper divisors (5585328).

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

2533200 is a wasteful number, since it uses less digits than its factorization.

2533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2533200 is about 1591.6029655665. The cubic root of 2533200 is about 136.3190318761.

Adding to 2533200 its reverse (23352), we get a palindrome (2556552).

The spelling of 2533200 in words is "two million, five hundred thirty-three thousand, two hundred".