2006569952064 has 280 divisors, whose sum is σ = 6324408097920. Its totient is φ = 626871619584.

The previous prime is 2006569952011. The next prime is 2006569952071. The reversal of 2006569952064 is 4602599656002.

2006569952064 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 56 + 9 + 9 + 520 + 64 = 666.

It is a super-2 number, since 2×2006569952064² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2006569952064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21014959 + ... + 21110225.

Almost surely, 2^{2006569952064} is an apocalyptic number.

2006569952064 is a gapful number since it is divisible by the number (24) 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 2006569952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162204048960).

2006569952064 is an abundant number, since it is smaller than the sum of its proper divisors (4317838145856).

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

2006569952064 is a wasteful number, since it uses less digits than its factorization.

2006569952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95547 (or 95528 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2006569952064 in words is "two trillion, six billion, five hundred sixty-nine million, nine hundred fifty-two thousand, sixty-four".