2986733445120 has 336 divisors, whose sum is σ = 10362724966152. Its totient is φ = 795743354880.

The previous prime is 2986733445097. The next prime is 2986733445127. The reversal of 2986733445120 is 215443376892.

2986733445120 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 73 + 3 + 445 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 897066602496 + 2089666842624 = 947136^2 + 1445568^2 .

It is not an unprimeable number, because it can be changed into a prime (2986733445127) 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 23 ways as a sum of consecutive naturals, for example, 501716064 + ... + 501722016.

It is a 1-persistent number, because it is pandigital, but 2⋅2986733445120 = 5973466890240 is not.

Almost surely, 2^{2986733445120} is an apocalyptic number.

2986733445120 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 2986733445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181362483076).

2986733445120 is an abundant number, since it is smaller than the sum of its proper divisors (7375991521032).

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

2986733445120 is a wasteful number, since it uses less digits than its factorization.

2986733445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2986733445120 in words is "two trillion, nine hundred eighty-six billion, seven hundred thirty-three million, four hundred forty-five thousand, one hundred twenty".