2988727372800 has 1848 divisors, whose sum is σ = 12180462511616. Its totient is φ = 722369249280.

The previous prime is 2988727372793. The next prime is 2988727372801. The reversal of 2988727372800 is 82737278892.

2988727372800 is a `hidden beast` number, since 2 + 9 + 8 + 87 + 273 + 7 + 280 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2988727372801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23533286337 + ... + 23533286463.

Almost surely, 2^{2988727372800} is an apocalyptic number.

2988727372800 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 2988727372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090231255808).

2988727372800 is an abundant number, since it is smaller than the sum of its proper divisors (9191735138816).

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

2988727372800 is a wasteful number, since it uses less digits than its factorization.

2988727372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 2988727372800 in words is "two trillion, nine hundred eighty-eight billion, seven hundred twenty-seven million, three hundred seventy-two thousand, eight hundred".