2271823651200 has 192 divisors, whose sum is σ = 7506889528320. Its totient is φ = 603870873600.

The previous prime is 2271823651159. The next prime is 2271823651213. The reversal of 2271823651200 is 21563281722.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2271823651200² (a number of 26 digits) contains 22 as substring.

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, 2605137 + ... + 3366063.

It is an arithmetic number, because the mean of its divisors is an integer number (39098382960).

Almost surely, 2^{2271823651200} is an apocalyptic number.

2271823651200 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 2271823651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753444764160).

2271823651200 is an abundant number, since it is smaller than the sum of its proper divisors (5235065877120).

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

2271823651200 is a wasteful number, since it uses less digits than its factorization.

2271823651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761265 (or 761248 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 2271823651200 in words is "two trillion, two hundred seventy-one billion, eight hundred twenty-three million, six hundred fifty-one thousand, two hundred".