2271326400 has 1008 divisors, whose sum is σ = 10233050400. Its totient is φ = 487710720.

The previous prime is 2271326389. The next prime is 2271326401. The reversal of 2271326400 is 46231722.

2271326400 is a `hidden beast` number, since 2 + 2 + 7 + 13 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (2271326401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61387182 + ... + 61387218.

Almost surely, 2^2271326400 is an apocalyptic number.

2271326400 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 2271326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116525200).

2271326400 is an abundant number, since it is smaller than the sum of its proper divisors (7961724000).

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

2271326400 is a wasteful number, since it uses less digits than its factorization.

2271326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2271326400 is about 47658.4347204144. The cubic root of 2271326400 is about 1314.4977576681.

The spelling of 2271326400 in words is "two billion, two hundred seventy-one million, three hundred twenty-six thousand, four hundred".