2531200 has 96 divisors (see below), whose sum is σ = 7209360. Its totient is φ = 860160.

The previous prime is 2531197. The next prime is 2531203. The reversal of 2531200 is 21352.

It is an interprime number because it is at equal distance from previous prime (2531197) and next prime (2531203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22344 + ... + 22456.

2^2531200 is an apocalyptic number.

2531200 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 2531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604680).

2531200 is an abundant number, since it is smaller than the sum of its proper divisors (4678160).

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

2531200 is a wasteful number, since it uses less digits than its factorization.

2531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2531200 is about 1590.9745441081. The cubic root of 2531200 is about 136.2831471130.

Adding to 2531200 its reverse (21352), we get a palindrome (2552552).

The spelling of 2531200 in words is "two million, five hundred thirty-one thousand, two hundred".