2271539652928 has 224 divisors, whose sum is σ = 5876954431488. Its totient is φ = 845365248000.

The previous prime is 2271539652917. The next prime is 2271539652953. The reversal of 2271539652928 is 8292569351722.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277317313 + ... + 277325503.

It is an arithmetic number, because the mean of its divisors is an integer number (26236403712).

Almost surely, 2^{2271539652928} is an apocalyptic number.

2271539652928 is a gapful number since it is divisible by the number (28) 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 2271539652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938477215744).

2271539652928 is an abundant number, since it is smaller than the sum of its proper divisors (3605414778560).

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

2271539652928 is a wasteful number, since it uses less digits than its factorization.

2271539652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041 (or 11031 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 61.

The spelling of 2271539652928 in words is "two trillion, two hundred seventy-one billion, five hundred thirty-nine million, six hundred fifty-two thousand, nine hundred twenty-eight".