2691140505984 has 1536 divisors, whose sum is σ = 9884958720000. Its totient is φ = 727542466560.

The previous prime is 2691140505929. The next prime is 2691140506091. The reversal of 2691140505984 is 4895050411962.

2691140505984 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 1 + 40 + 5 + 0 + 598 + 4 = 666.

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 2691140505984.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 26127577677 + ... + 26127577779.

It is an arithmetic number, because the mean of its divisors is an integer number (6435520000).

Almost surely, 2^{2691140505984} is an apocalyptic number.

2691140505984 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 2691140505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942479360000).

2691140505984 is an abundant number, since it is smaller than the sum of its proper divisors (7193818214016).

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

2691140505984 is an equidigital number, since it uses as much as digits as its factorization.

2691140505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2691140505984 in words is "two trillion, six hundred ninety-one billion, one hundred forty million, five hundred five thousand, nine hundred eighty-four".