2186782945920 has 320 divisors, whose sum is σ = 8078691832200. Its totient is φ = 563033382912.

The previous prime is 2186782945859. The next prime is 2186782945927. The reversal of 2186782945920 is 295492876812.

2186782945920 is a `hidden beast` number, since 2 + 1 + 86 + 7 + 82 + 9 + 459 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1740056468544 + 446726477376 = 1319112^2 + 668376^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2186782945927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 776062 + ... + 2230658.

Almost surely, 2^{2186782945920} is an apocalyptic number.

2186782945920 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 2186782945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039345916100).

2186782945920 is an abundant number, since it is smaller than the sum of its proper divisors (5891908886280).

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

2186782945920 is a wasteful number, since it uses less digits than its factorization.

2186782945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454657 (or 1454636 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2186782945920 in words is "two trillion, one hundred eighty-six billion, seven hundred eighty-two million, nine hundred forty-five thousand, nine hundred twenty".