2016540 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 505344.

The previous prime is 2016529. The next prime is 2016541. The reversal of 2016540 is 456102.

2016540 = T₆₁ + T₆₂ + ... + T₂₃₀.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2731 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2016540 is an apocalyptic number.

2016540 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 2016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2016540 is an abundant number, since it is smaller than the sum of its proper divisors (4469940).

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

2016540 is a wasteful number, since it uses less digits than its factorization.

2016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 686 counting only the distinct ones).

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

The square root of 2016540 is about 1420.0492949190. The cubic root of 2016540 is about 126.3384701598.

It can be divided in two parts, 2016 and 540, that added together give a triangular number (2556 = T₇₁).

The spelling of 2016540 in words is "two million, sixteen thousand, five hundred forty".