2944112640 has 192 divisors, whose sum is σ = 10765198080. Its totient is φ = 672890880.

The previous prime is 2944112627. The next prime is 2944112641. The reversal of 2944112640 is 462114492.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2944112641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208195 + ... + 221885.

It is an arithmetic number, because the mean of its divisors is an integer number (56068740).

Almost surely, 2^2944112640 is an apocalyptic number.

2944112640 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 2944112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382599040).

2944112640 is an abundant number, since it is smaller than the sum of its proper divisors (7821085440).

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

2944112640 is a wasteful number, since it uses less digits than its factorization.

2944112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2944112640 is about 54259.6778464451. The cubic root of 2944112640 is about 1433.2374269102.

The spelling of 2944112640 in words is "two billion, nine hundred forty-four million, one hundred twelve thousand, six hundred forty".