2944888128 has 336 divisors, whose sum is σ = 10939393920. Its totient is φ = 735547392.

The previous prime is 2944888123. The next prime is 2944888139. The reversal of 2944888128 is 8218884492.

2944888128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2944888123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994426 + ... + 997382.

It is an arithmetic number, because the mean of its divisors is an integer number (32557720).

Almost surely, 2^2944888128 is an apocalyptic number.

2944888128 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 2944888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469696960).

2944888128 is an abundant number, since it is smaller than the sum of its proper divisors (7994505792).

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

2944888128 is a wasteful number, since it uses less digits than its factorization.

2944888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3001 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 2944888128 is about 54266.8234559570. The cubic root of 2944888128 is about 1433.3632555258.

The spelling of 2944888128 in words is "two billion, nine hundred forty-four million, eight hundred eighty-eight thousand, one hundred twenty-eight".