1944809984 has 160 divisors (see below), whose sum is σ = 4408311600. Its totient is φ = 851116032.

The previous prime is 1944809981. The next prime is 1944810001. The reversal of 1944809984 is 4899084491.

It can be written as a sum of positive squares in 8 ways, for example, as 834054400 + 1110755584 = 28880^2 + 33328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944809981) 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, 13052342 + ... + 13052490.

Almost surely, 2^1944809984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1944809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204155800).

1944809984 is an abundant number, since it is smaller than the sum of its proper divisors (2463501616).

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

1944809984 is a wasteful number, since it uses less digits than its factorization.

1944809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The square root of 1944809984 is about 44099.9998185941. Note that the first 3 decimals coincide. The cubic root of 1944809984 is about 1248.2236066572.

The spelling of 1944809984 in words is "one billion, nine hundred forty-four million, eight hundred nine thousand, nine hundred eighty-four".