2691363840 has 352 divisors, whose sum is σ = 9953725824. Its totient is φ = 613416960.

The previous prime is 2691363811. The next prime is 2691363841. The reversal of 2691363840 is 483631962.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 2691363792 and 2691363801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2691363841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871852 + ... + 2872788.

Almost surely, 2^2691363840 is an apocalyptic number.

2691363840 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 2691363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976862912).

2691363840 is an abundant number, since it is smaller than the sum of its proper divisors (7262361984).

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

2691363840 is a wasteful number, since it uses less digits than its factorization.

2691363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2691363840 is about 51878.3561805885. The cubic root of 2691363840 is about 1390.9904160543.

The spelling of 2691363840 in words is "two billion, six hundred ninety-one million, three hundred sixty-three thousand, eight hundred forty".