2271570400 has 144 divisors (see below), whose sum is σ = 6077142288. Its totient is φ = 822272000.

The previous prime is 2271570391. The next prime is 2271570491. The reversal of 2271570400 is 40751722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2577960 + ... + 2578840.

It is an arithmetic number, because the mean of its divisors is an integer number (42202377).

Almost surely, 2^2271570400 is an apocalyptic number.

2271570400 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 2271570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038571144).

2271570400 is an abundant number, since it is smaller than the sum of its proper divisors (3805571888).

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

2271570400 is a wasteful number, since it uses less digits than its factorization.

2271570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 2271570400 is about 47660.9945343150. The cubic root of 2271570400 is about 1314.5448264893.

The spelling of 2271570400 in words is "two billion, two hundred seventy-one million, five hundred seventy thousand, four hundred".