2016061440 has 384 divisors, whose sum is σ = 6981811200. Its totient is φ = 495452160.

The previous prime is 2016061417. The next prime is 2016061499. The reversal of 2016061440 is 441606102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2016061440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27617244 + ... + 27617316.

It is an arithmetic number, because the mean of its divisors is an integer number (18181800).

Almost surely, 2^2016061440 is an apocalyptic number.

2016061440 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 2016061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490905600).

2016061440 is an abundant number, since it is smaller than the sum of its proper divisors (4965749760).

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

2016061440 is a wasteful number, since it uses less digits than its factorization.

2016061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2016061440 is about 44900.5728248538. The cubic root of 2016061440 is about 1263.2847526395.

Adding to 2016061440 its reverse (441606102), we get a palindrome (2457667542).

The spelling of 2016061440 in words is "two billion, sixteen million, sixty-one thousand, four hundred forty".