2982689844480 has 1152 divisors, whose sum is σ = 11125488729600. Its totient is φ = 756003373056.

The previous prime is 2982689844479. The next prime is 2982689844487. The reversal of 2982689844480 is 844489862892.

2982689844480 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 68 + 9 + 84 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2982689844399 and 2982689844408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982689844487) 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 127 ways as a sum of consecutive naturals, for example, 17240981674 + ... + 17240981846.

It is an arithmetic number, because the mean of its divisors is an integer number (9657542300).

Almost surely, 2^{2982689844480} is an apocalyptic number.

2982689844480 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 2982689844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562744364800).

2982689844480 is an abundant number, since it is smaller than the sum of its proper divisors (8142798885120).

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

2982689844480 is a wasteful number, since it uses less digits than its factorization.

2982689844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 2982689844480 in words is "two trillion, nine hundred eighty-two billion, six hundred eighty-nine million, eight hundred forty-four thousand, four hundred eighty".