2271401786808 has 768 divisors, whose sum is σ = 8091353088000. Its totient is φ = 579840768000.

The previous prime is 2271401786783. The next prime is 2271401786861. The reversal of 2271401786808 is 8086871041722.

2271401786808 is a `hidden beast` number, since 22 + 71 + 401 + 78 + 6 + 80 + 8 = 666.

It is a super-2 number, since 2×2271401786808² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 4741965913 + ... + 4741966391.

It is an arithmetic number, because the mean of its divisors is an integer number (10535616000).

Almost surely, 2^{2271401786808} is an apocalyptic number.

2271401786808 is a gapful number since it is divisible by the number (28) 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 2271401786808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045676544000).

2271401786808 is an abundant number, since it is smaller than the sum of its proper divisors (5819951301192).

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

2271401786808 is a wasteful number, since it uses less digits than its factorization.

2271401786808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 2271401786808 in words is "two trillion, two hundred seventy-one billion, four hundred one million, seven hundred eighty-six thousand, eight hundred eight".