2221095831552 has 1008 divisors, whose sum is σ = 7591965037020. Its totient is φ = 645402525696.

The previous prime is 2221095831547. The next prime is 2221095831607. The reversal of 2221095831552 is 2551385901222.

2221095831552 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 9 + 583 + 15 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1768091452416 + 453004379136 = 1329696^2 + 673056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2221095831498 and 2221095831507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7006611298 + ... + 7006611614.

Almost surely, 2^{2221095831552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221095831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795982518510).

2221095831552 is an abundant number, since it is smaller than the sum of its proper divisors (5370869205468).

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

2221095831552 is an equidigital number, since it uses as much as digits as its factorization.

2221095831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2221095831552 in words is "two trillion, two hundred twenty-one billion, ninety-five million, eight hundred thirty-one thousand, five hundred fifty-two".