2988166132224 has 1920 divisors, whose sum is σ = 12011231232000. Its totient is φ = 719359377408.

The previous prime is 2988166132207. The next prime is 2988166132277. The reversal of 2988166132224 is 4222316618892.

2988166132224 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 16 + 613 + 2 + 2 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6238342417 + ... + 6238342895.

It is an arithmetic number, because the mean of its divisors is an integer number (6255849600).

Almost surely, 2^{2988166132224} is an apocalyptic number.

2988166132224 is a gapful number since it is divisible by the number (24) 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 2988166132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616000).

2988166132224 is an abundant number, since it is smaller than the sum of its proper divisors (9023065099776).

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

2988166132224 is a wasteful number, since it uses less digits than its factorization.

2988166132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 2988166132224 in words is "two trillion, nine hundred eighty-eight billion, one hundred sixty-six million, one hundred thirty-two thousand, two hundred twenty-four".