2506500 has 72 divisors (see below), whose sum is σ = 7921368. Its totient is φ = 667200.

The previous prime is 2506489. The next prime is 2506501. The reversal of 2506500 is 56052.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 2022084 = 696^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2506501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4222 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2^2506500 is an apocalyptic number.

2506500 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 2506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960684).

2506500 is an abundant number, since it is smaller than the sum of its proper divisors (5414868).

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

2506500 is a wasteful number, since it uses less digits than its factorization.

2506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2506500 is about 1583.1929762351. The cubic root of 2506500 is about 135.8384037987.

The spelling of 2506500 in words is "two million, five hundred six thousand, five hundred".