2271253564320 has 288 divisors, whose sum is σ = 8131657226112. Its totient is φ = 529652127744.

The previous prime is 2271253564259. The next prime is 2271253564343. The reversal of 2271253564320 is 234653521722.

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, 1748509 + ... + 2756771.

It is an arithmetic number, because the mean of its divisors is an integer number (28234920924).

Almost surely, 2^{2271253564320} is an apocalyptic number.

2271253564320 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 2271253564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065828613056).

2271253564320 is an abundant number, since it is smaller than the sum of its proper divisors (5860403661792).

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

2271253564320 is a wasteful number, since it uses less digits than its factorization.

2271253564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008332 (or 1008305 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 2271253564320 in words is "two trillion, two hundred seventy-one billion, two hundred fifty-three million, five hundred sixty-four thousand, three hundred twenty".