2944063200 has 288 divisors, whose sum is σ = 10415333376. Its totient is φ = 718018560.

The previous prime is 2944063141. The next prime is 2944063201. The reversal of 2944063200 is 23604492.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2944063201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3962029 + ... + 3962771.

It is an arithmetic number, because the mean of its divisors is an integer number (36164352).

Almost surely, 2^2944063200 is an apocalyptic number.

2944063200 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 2944063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207666688).

2944063200 is an abundant number, since it is smaller than the sum of its proper divisors (7471270176).

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

2944063200 is a wasteful number, since it uses less digits than its factorization.

2944063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2944063200 is about 54259.2222576034. Note that the first 4 decimals coincide. The cubic root of 2944063200 is about 1433.2294041584.

Adding to 2944063200 its reverse (23604492), we get a palindrome (2967667692).

It can be divided in two parts, 294406 and 3200, that added together give a triangular number (297606 = T₇₇₁).

The spelling of 2944063200 in words is "two billion, nine hundred forty-four million, sixty-three thousand, two hundred".