2271264428800 has 216 divisors, whose sum is σ = 5686336051200. Its totient is φ = 898125926400.

The previous prime is 2271264428791. The next prime is 2271264428809. The reversal of 2271264428800 is 88244621722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2271264428791) and next prime (2271264428809).

It is not an unprimeable number, because it can be changed into a prime (2271264428809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199245501 + ... + 199256899.

Almost surely, 2^{2271264428800} is an apocalyptic number.

2271264428800 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 2271264428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843168025600).

2271264428800 is an abundant number, since it is smaller than the sum of its proper divisors (3415071622400).

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

2271264428800 is a wasteful number, since it uses less digits than its factorization.

2271264428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 2271264428800 in words is "two trillion, two hundred seventy-one billion, two hundred sixty-four million, four hundred twenty-eight thousand, eight hundred".