2501200 has 90 divisors (see below), whose sum is σ = 6682794. Its totient is φ = 898560.

The previous prime is 2501197. The next prime is 2501201. The reversal of 2501200 is 21052.

It can be written as a sum of positive squares in 9 ways, for example, as 1032256 + 1468944 = 1016^2 + 1212^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67582 + ... + 67618.

2^2501200 is an apocalyptic number.

2501200 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 2501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341397).

2501200 is an abundant number, since it is smaller than the sum of its proper divisors (4181594).

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

2501200 is a wasteful number, since it uses less digits than its factorization.

2501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2501200 is about 1581.5182578775. The cubic root of 2501200 is about 135.7425926971.

Adding to 2501200 its reverse (21052), we get a palindrome (2522252).

It can be divided in two parts, 2501 and 200, that added together give a triangular number (2701 = T₇₃).

The spelling of 2501200 in words is "two million, five hundred one thousand, two hundred".