2891985481728 has 234 divisors, whose sum is σ = 9717464799744. Its totient is φ = 826281050112.

The previous prime is 2891985481699. The next prime is 2891985481733. The reversal of 2891985481728 is 8271845891982.

2891985481728 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 9 + 8 + 548 + 1 + 72 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1005825 + ... + 2606847.

Almost surely, 2^{2891985481728} is an apocalyptic number.

2891985481728 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 2891985481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858732399872).

2891985481728 is an abundant number, since it is smaller than the sum of its proper divisors (6825479318016).

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

2891985481728 is a wasteful number, since it uses less digits than its factorization.

2891985481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601067 (or 1601035 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 72.

The spelling of 2891985481728 in words is "two trillion, eight hundred ninety-one billion, nine hundred eighty-five million, four hundred eighty-one thousand, seven hundred twenty-eight".