2987884368000 has 4608 divisors, whose sum is σ = 14928231052800. Its totient is φ = 582465945600.

The previous prime is 2987884367959. The next prime is 2987884368061. The reversal of 2987884368000 is 8634887892.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 129908015989 + ... + 129908016011.

It is an arithmetic number, because the mean of its divisors is an integer number (3239633475).

Almost surely, 2^{2987884368000} is an apocalyptic number.

2987884368000 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 2987884368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464115526400).

2987884368000 is an abundant number, since it is smaller than the sum of its proper divisors (11940346684800).

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

2987884368000 is a wasteful number, since it uses less digits than its factorization.

2987884368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2987884368000 in words is "two trillion, nine hundred eighty-seven billion, eight hundred eighty-four million, three hundred sixty-eight thousand".