2091918128832 has 448 divisors, whose sum is σ = 7079537418240. Its totient is φ = 593358815232.

The previous prime is 2091918128821. The next prime is 2091918128849. The reversal of 2091918128832 is 2388218191902.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2091918128832² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232714608 + ... + 1232716304.

It is an arithmetic number, because the mean of its divisors is an integer number (15802538880).

Almost surely, 2^{2091918128832} 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 2091918128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539768709120).

2091918128832 is an abundant number, since it is smaller than the sum of its proper divisors (4987619289408).

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

2091918128832 is a wasteful number, since it uses less digits than its factorization.

2091918128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 2091918128832 in words is "two trillion, ninety-one billion, nine hundred eighteen million, one hundred twenty-eight thousand, eight hundred thirty-two".