2261491031808 has 864 divisors, whose sum is σ = 7382257698816. Its totient is φ = 687753068544.

The previous prime is 2261491031797. The next prime is 2261491031827. The reversal of 2261491031808 is 8081301941622.

2261491031808 is a `hidden beast` number, since 2 + 2 + 614 + 9 + 10 + 3 + 18 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2261491031808² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8598825085 + ... + 8598825347.

It is an arithmetic number, because the mean of its divisors is an integer number (8544279744).

Almost surely, 2^{2261491031808} 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 2261491031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691128849408).

2261491031808 is an abundant number, since it is smaller than the sum of its proper divisors (5120766667008).

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

2261491031808 is a wasteful number, since it uses less digits than its factorization.

2261491031808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2261491031808 in words is "two trillion, two hundred sixty-one billion, four hundred ninety-one million, thirty-one thousand, eight hundred eight".