2016589854240 has 576 divisors, whose sum is σ = 7693979529600. Its totient is φ = 495840559104.

The previous prime is 2016589854239. The next prime is 2016589854401. The reversal of 2016589854240 is 424589856102.

2016589854240 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 5 + 8 + 98 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636347376 + ... + 636350544.

It is an arithmetic number, because the mean of its divisors is an integer number (13357603350).

Almost surely, 2^{2016589854240} is an apocalyptic number.

2016589854240 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 2016589854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846989764800).

2016589854240 is an abundant number, since it is smaller than the sum of its proper divisors (5677389675360).

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

2016589854240 is a wasteful number, since it uses less digits than its factorization.

2016589854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2016589854240 in words is "two trillion, sixteen billion, five hundred eighty-nine million, eight hundred fifty-four thousand, two hundred forty".