2271991680 has 384 divisors, whose sum is σ = 9302791680. Its totient is φ = 519063552.

The previous prime is 2271991649. The next prime is 2271991717. The reversal of 2271991680 is 861991722.

2271991680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087597 + ... + 1089683.

It is an arithmetic number, because the mean of its divisors is an integer number (24226020).

Almost surely, 2^2271991680 is an apocalyptic number.

2271991680 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 2271991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651395840).

2271991680 is an abundant number, since it is smaller than the sum of its proper divisors (7030800000).

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

2271991680 is an equidigital number, since it uses as much as digits as its factorization.

2271991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2271991680 is about 47665.4138763108. The cubic root of 2271991680 is about 1314.6260855767.

The spelling of 2271991680 in words is "two billion, two hundred seventy-one million, nine hundred ninety-one thousand, six hundred eighty".