2691116640 has 144 divisors (see below), whose sum is σ = 9320835888. Its totient is φ = 706894848.

The previous prime is 2691116639. The next prime is 2691116641. The reversal of 2691116640 is 466111962.

2691116640 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 1 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2691116639) and next prime (2691116641).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2691116595 and 2691116604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2691116641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82534 + ... + 110426.

It is an arithmetic number, because the mean of its divisors is an integer number (64728027).

Almost surely, 2^2691116640 is an apocalyptic number.

2691116640 is a gapful number since it is divisible by the number (20) 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 2691116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660417944).

2691116640 is an abundant number, since it is smaller than the sum of its proper divisors (6629719248).

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

2691116640 is a wasteful number, since it uses less digits than its factorization.

2691116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27981 (or 27970 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2691116640 is about 51875.9736294173. The cubic root of 2691116640 is about 1390.9478275652.

The spelling of 2691116640 in words is "two billion, six hundred ninety-one million, one hundred sixteen thousand, six hundred forty".