2271906938880 has 1920 divisors, whose sum is σ = 9294965084160. Its totient is φ = 523197480960.

The previous prime is 2271906938813. The next prime is 2271906938891. The reversal of 2271906938880 is 888396091722.

2271906938880 is a `hidden beast` number, since 2 + 2 + 7 + 190 + 69 + 388 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2271906938880² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31998689245 + ... + 31998689315.

It is an arithmetic number, because the mean of its divisors is an integer number (4841127648).

Almost surely, 2^{2271906938880} is an apocalyptic number.

2271906938880 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 2271906938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647482542080).

2271906938880 is an abundant number, since it is smaller than the sum of its proper divisors (7023058145280).

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

2271906938880 is a wasteful number, since it uses less digits than its factorization.

2271906938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2271906938880 in words is "two trillion, two hundred seventy-one billion, nine hundred six million, nine hundred thirty-eight thousand, eight hundred eighty".