2682540 has 72 divisors (see below), whose sum is σ = 9303840. Its totient is φ = 612864.

The previous prime is 2682539. The next prime is 2682541. The reversal of 2682540 is 452862.

It is an interprime number because it is at equal distance from previous prime (2682539) and next prime (2682541).

It is not an unprimeable number, because it can be changed into a prime (2682541) 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, 196 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (129220).

2^2682540 is an apocalyptic number.

2682540 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 2682540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651920).

2682540 is an abundant number, since it is smaller than the sum of its proper divisors (6621300).

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

2682540 is a wasteful number, since it uses less digits than its factorization.

2682540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2682540 is about 1637.8461466206. The cubic root of 2682540 is about 138.9468595929.

The spelling of 2682540 in words is "two million, six hundred eighty-two thousand, five hundred forty".