2500 has 15 divisors (see below), whose sum is σ = 5467. Its totient is φ = 1000.

The previous prime is 2477. The next prime is 2503. The reversal of 2500 is 52.

2500 = T_{49} + T_{50}.

The square root of 2500 is 50.

It is a perfect power (a square), and thus also a powerful number.

2500 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 196 + 2304 = 14^2 + 48^2 .

It is a sliding number, since 2500 = 500 + 2000 and 1/500 + 1/2000 = 0.002500.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=5.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is a plaindrome in base 9.

It is a nialpdrome in base 5 and base 14.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2503) by changing a digit.

2500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 498 + ... + 502.

2500 is a Friedman number, since it can be written as (50+0)^2, using all its digits and the basic arithmetic operations.

2^{2500} is an apocalyptic number.

2500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2500 is the 50-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500

2500 is an abundant number, since it is smaller than the sum of its proper divisors (2967).

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

2500 is an equidigital number, since it uses as much as digits as its factorization.

2500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The cubic root of 2500 is about 13.5720880830.

Adding to 2500 its reverse (52), we get a palindrome (2552).

It can be divided in two parts, 2 and 500, that multiplied together give a cube (1000 = 10^{3}).

The spelling of 2500 in words is "two thousand, five hundred".

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