2658540 has 48 divisors (see below), whose sum is σ = 7580160. Its totient is φ = 696000.

The previous prime is 2658521. The next prime is 2658553. The reversal of 2658540 is 458562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2658498 and 2658507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165 + ... + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (157920).

2^2658540 is an apocalyptic number.

2658540 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 2658540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790080).

2658540 is an abundant number, since it is smaller than the sum of its proper divisors (4921620).

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

2658540 is a wasteful number, since it uses less digits than its factorization.

2658540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2658540 is about 1630.5029898777. The cubic root of 2658540 is about 138.5312436301.

The spelling of 2658540 in words is "two million, six hundred fifty-eight thousand, five hundred forty".