2889690043968 has 336 divisors, whose sum is σ = 10571751881600. Its totient is φ = 762115682304.

The previous prime is 2889690043937. The next prime is 2889690044071. The reversal of 2889690043968 is 8693400969882.

It is a happy number.

2889690043968 is a `hidden beast` number, since 28 + 89 + 6 + 90 + 0 + 439 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2889690043896 and 2889690043905.

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 47 ways as a sum of consecutive naturals, for example, 394308 + ... + 2436156.

Almost surely, 2^{2889690043968} is an apocalyptic number.

2889690043968 is a gapful number since it is divisible by the number (28) 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 2889690043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285875940800).

2889690043968 is an abundant number, since it is smaller than the sum of its proper divisors (7682061837632).

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

2889690043968 is a wasteful number, since it uses less digits than its factorization.

2889690043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041896 (or 2041874 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 2889690043968 in words is "two trillion, eight hundred eighty-nine billion, six hundred ninety million, forty-three thousand, nine hundred sixty-eight".