2180808283536 has 675 divisors, whose sum is σ = 7132648478769. Its totient is φ = 643062260736.

The previous prime is 2180808283513. The next prime is 2180808283567. The reversal of 2180808283536 is 6353828080812.

The square root of 2180808283536 is 1476756.

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

2180808283536 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 80 + 8 + 28 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1697861120400 + 482947163136 = 1303020^2 + 694944^2 .

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

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, 17171718705 + ... + 17171718831.

Almost surely, 2^{2180808283536} is an apocalyptic number.

2180808283536 is the 1476756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180808283536

2180808283536 is an abundant number, since it is smaller than the sum of its proper divisors (4951840195233).

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

2180808283536 is a wasteful number, since it uses less digits than its factorization.

2180808283536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2180808283536 in words is "two trillion, one hundred eighty billion, eight hundred eight million, two hundred eighty-three thousand, five hundred thirty-six".