2271971520 has 336 divisors, whose sum is σ = 9619122240. Its totient is φ = 479305728.

The previous prime is 2271971509. The next prime is 2271971567. The reversal of 2271971520 is 251791722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2271971520² = 10323709175382220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257746 + ... + 266414.

It is an arithmetic number, because the mean of its divisors is an integer number (28628340).

Almost surely, 2^2271971520 is an apocalyptic number.

2271971520 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 2271971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809561120).

2271971520 is an abundant number, since it is smaller than the sum of its proper divisors (7347150720).

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

2271971520 is a wasteful number, since it uses less digits than its factorization.

2271971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2271971520 is about 47665.2024017522. The cubic root of 2271971520 is about 1314.6221972203.

The spelling of 2271971520 in words is "two billion, two hundred seventy-one million, nine hundred seventy-one thousand, five hundred twenty".