3000540 has 48 divisors (see below), whose sum is σ = 8604288. Its totient is φ = 780864.

The previous prime is 3000539. The next prime is 3000541. The reversal of 3000540 is 450003.

It is an interprime number because it is at equal distance from previous prime (3000539) and next prime (3000541).

It is a Harshad number since it is a multiple of its sum of digits (12).

3000540 is a modest number, since divided by 540 gives 300 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (179256).

Almost surely, 2^3000540 is an apocalyptic number.

3000540 is a gapful number since it is divisible by the number (30) 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 3000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302144).

3000540 is an abundant number, since it is smaller than the sum of its proper divisors (5603748).

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

3000540 is a wasteful number, since it uses less digits than its factorization.

3000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3000540 is about 1732.2066851274. The cubic root of 3000540 is about 144.2336100090.

Adding to 3000540 its reverse (450003), we get a palindrome (3450543).

The spelling of 3000540 in words is "three million, five hundred forty", and thus it is an aban number.