2882215366560 has 240 divisors, whose sum is σ = 10276686987336. Its totient is φ = 760666816512.

The previous prime is 2882215366559. The next prime is 2882215366621. The reversal of 2882215366560 is 656635122882.

2882215366560 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 2 + 15 + 3 + 66 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2283640813584 + 598574552976 = 1511172^2 + 773676^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2882215366497 and 2882215366506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110764 + ... + 2403476.

Almost surely, 2^{2882215366560} is an apocalyptic number.

2882215366560 is a gapful number since it is divisible by the number (20) 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 2882215366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138343493668).

2882215366560 is an abundant number, since it is smaller than the sum of its proper divisors (7394471620776).

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

2882215366560 is a wasteful number, since it uses less digits than its factorization.

2882215366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292837 (or 2292820 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2882215366560 in words is "two trillion, eight hundred eighty-two billion, two hundred fifteen million, three hundred sixty-six thousand, five hundred sixty".