2882419577361 has 135 divisors (see below), whose sum is σ = 4561066192683. Its totient is φ = 1814032221120.

The previous prime is 2882419577353. The next prime is 2882419577363. The reversal of 2882419577361 is 1637759142882.

The square root of 2882419577361 is 1697769.

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

2882419577361 is a `hidden beast` number, since 2 + 8 + 8 + 24 + 1 + 9 + 577 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138891127761 + 2743528449600 = 372681^2 + 1656360^2 .

It is not a de Polignac number, because 2882419577361 - 2³ = 2882419577353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2882419577363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26938500670 + ... + 26938500776.

Almost surely, 2^{2882419577361} is an apocalyptic number.

2882419577361 is the 1697769-th square number.

2882419577361 is the 848885-th centered octagonal number.

It is an amenable number.

2882419577361 is a deficient number, since it is larger than the sum of its proper divisors (1678646615322).

2882419577361 is an frugal number, since it uses more digits than its factorization.

2882419577361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 194 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 2882419577361 in words is "two trillion, eight hundred eighty-two billion, four hundred nineteen million, five hundred seventy-seven thousand, three hundred sixty-one".