2251728331776 has 1485 divisors, whose sum is σ = 8634637302473. Its totient is φ = 564696760320.

The previous prime is 2251728331717. The next prime is 2251728331789. The reversal of 2251728331776 is 6771338271522.

The square root of 2251728331776 is 1500576.

It is a perfect power (a square), and thus also a powerful number.

2251728331776 is a `hidden beast` number, since 2 + 2 + 517 + 28 + 3 + 31 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1180751717376 + 1070976614400 = 1086624^2 + 1034880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 77645804530 + ... + 77645804558.

Almost surely, 2^{2251728331776} is an apocalyptic number.

2251728331776 is the 1500576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251728331776

2251728331776 is an abundant number, since it is smaller than the sum of its proper divisors (6382908970697).

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

2251728331776 is an equidigital number, since it uses as much as digits as its factorization.

2251728331776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 52 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 2251728331776 in words is "two trillion, two hundred fifty-one billion, seven hundred twenty-eight million, three hundred thirty-one thousand, seven hundred seventy-six".