2271024104000 has 112 divisors (see below), whose sum is σ = 5818129415280. Its totient is φ = 877085081600.

The previous prime is 2271024103979. The next prime is 2271024104017. The reversal of 2271024104000 is 4014201722.

It can be written as a sum of positive squares in 8 ways, for example, as 928540377664 + 1342483726336 = 963608^2 + 1158656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662449 + ... + 5126448.

It is an arithmetic number, because the mean of its divisors is an integer number (51947584065).

Almost surely, 2^{2271024104000} is an apocalyptic number.

2271024104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2271024104000 is an abundant number, since it is smaller than the sum of its proper divisors (3547105311280).

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

2271024104000 is an equidigital number, since it uses as much as digits as its factorization.

2271024104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788953 (or 9788933 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 2271024104000 its reverse (4014201722), we get a palindrome (2275038305722).

The spelling of 2271024104000 in words is "two trillion, two hundred seventy-one billion, twenty-four million, one hundred four thousand".