2016000540 has 144 divisors (see below), whose sum is σ = 6377978880. Its totient is φ = 514805760.

The previous prime is 2016000533. The next prime is 2016000541. The reversal of 2016000540 is 450006102.

It is a happy number.

2016000540 is a `hidden beast` number, since 20 + 1 + 600 + 0 + 5 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016000541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661420 + ... + 664460.

It is an arithmetic number, because the mean of its divisors is an integer number (44291520).

Almost surely, 2^2016000540 is an apocalyptic number.

2016000540 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 2016000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188989440).

2016000540 is an abundant number, since it is smaller than the sum of its proper divisors (4361978340).

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

2016000540 is a wasteful number, since it uses less digits than its factorization.

2016000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2016000540 is about 44899.8946546648. The cubic root of 2016000540 is about 1263.2720323234.

Adding to 2016000540 its reverse (450006102), we get a palindrome (2466006642).

The spelling of 2016000540 in words is "two billion, sixteen million, five hundred forty", and thus it is an aban number.