2988816703488 has 2688 divisors, whose sum is σ = 12530607538176. Its totient is φ = 687970713600.

The previous prime is 2988816703399. The next prime is 2988816703493. The reversal of 2988816703488 is 8843076188892.

2988816703488 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 81 + 67 + 0 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×2988816703488² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 80778829806 + ... + 80778829842.

It is an arithmetic number, because the mean of its divisors is an integer number (4661684352).

Almost surely, 2^{2988816703488} is an apocalyptic number.

2988816703488 is a gapful number since it is divisible by the number (28) 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 2988816703488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265303769088).

2988816703488 is an abundant number, since it is smaller than the sum of its proper divisors (9541790834688).

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

2988816703488 is a wasteful number, since it uses less digits than its factorization.

2988816703488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 2988816703488 in words is "two trillion, nine hundred eighty-eight billion, eight hundred sixteen million, seven hundred three thousand, four hundred eighty-eight".