2271052080 has 400 divisors, whose sum is σ = 8702800128. Its totient is φ = 544320000.

The previous prime is 2271052073. The next prime is 2271052087. The reversal of 2271052080 is 802501722.

It is an interprime number because it is at equal distance from previous prime (2271052073) and next prime (2271052087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2271052087) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10763175 + ... + 10763385.

Almost surely, 2^2271052080 is an apocalyptic number.

2271052080 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 2271052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351400064).

2271052080 is an abundant number, since it is smaller than the sum of its proper divisors (6431748048).

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

2271052080 is a wasteful number, since it uses less digits than its factorization.

2271052080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2271052080 is about 47655.5566539727. The cubic root of 2271052080 is about 1314.4448359417. Note that the first 3 decimals are identical.

The spelling of 2271052080 in words is "two billion, two hundred seventy-one million, fifty-two thousand, eighty".