2016406656 has 512 divisors, whose sum is σ = 7050240000. Its totient is φ = 561254400.

The previous prime is 2016406633. The next prime is 2016406661. The reversal of 2016406656 is 6566046102.

It is a happy number.

2016406656 is a `hidden beast` number, since 2 + 0 + 1 + 640 + 6 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×2016406656² = 8131791604722204672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2016406656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34176355 + ... + 34176413.

It is an arithmetic number, because the mean of its divisors is an integer number (13770000).

Almost surely, 2^2016406656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120000).

2016406656 is an abundant number, since it is smaller than the sum of its proper divisors (5033833344).

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

2016406656 is a wasteful number, since it uses less digits than its factorization.

2016406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2016406656 is about 44904.4168874288. The cubic root of 2016406656 is about 1263.3568538183.

The spelling of 2016406656 in words is "two billion, sixteen million, four hundred six thousand, six hundred fifty-six".