2988075234144 has 1536 divisors, whose sum is σ = 11490464563200. Its totient is φ = 654726758400.

The previous prime is 2988075234143. The next prime is 2988075234197. The reversal of 2988075234144 is 4414325708892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988075234143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4988439157 + ... + 4988439755.

It is an arithmetic number, because the mean of its divisors is an integer number (7480771200).

Almost surely, 2^{2988075234144} is an apocalyptic number.

2988075234144 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 2988075234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745232281600).

2988075234144 is an abundant number, since it is smaller than the sum of its proper divisors (8502389329056).

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

2988075234144 is a wasteful number, since it uses less digits than its factorization.

2988075234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 2988075234144 in words is "two trillion, nine hundred eighty-eight billion, seventy-five million, two hundred thirty-four thousand, one hundred forty-four".