2006881819560 has 192 divisors, whose sum is σ = 6874821233280. Its totient is φ = 526395075840.

The previous prime is 2006881819543. The next prime is 2006881819561. The reversal of 2006881819560 is 659181886002.

It is a happy number.

2006881819560 is a `hidden beast` number, since 2 + 0 + 0 + 68 + 8 + 1 + 8 + 19 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2006881819497 and 2006881819506.

It is not an unprimeable number, because it can be changed into a prime (2006881819561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099452 + ... + 2285291.

It is an arithmetic number, because the mean of its divisors is an integer number (35806360590).

Almost surely, 2^{2006881819560} is an apocalyptic number.

2006881819560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006881819560 is an abundant number, since it is smaller than the sum of its proper divisors (4867939413720).

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

2006881819560 is a wasteful number, since it uses less digits than its factorization.

2006881819560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384830 (or 3384814 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 2006881819560 in words is "two trillion, six billion, eight hundred eighty-one million, eight hundred nineteen thousand, five hundred sixty".