2682500 has 60 divisors (see below), whose sum is σ = 6232380. Its totient is φ = 1008000.

The previous prime is 2682497. The next prime is 2682503. The reversal of 2682500 is 52862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2682497) and next prime (2682503).

It can be written as a sum of positive squares in 10 ways, for example, as 1459264 + 1223236 = 1208^2 + 1106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72482 + ... + 72518.

It is an arithmetic number, because the mean of its divisors is an integer number (103873).

2^2682500 is an apocalyptic number.

2682500 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 2682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116190).

2682500 is an abundant number, since it is smaller than the sum of its proper divisors (3549880).

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

2682500 is a wasteful number, since it uses less digits than its factorization.

2682500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2682500 is about 1637.8339354159. The cubic root of 2682500 is about 138.9461689661.

The spelling of 2682500 in words is "two million, six hundred eighty-two thousand, five hundred".