1944971904 has 128 divisors (see below), whose sum is σ = 5491255680. Its totient is φ = 607846400.

The previous prime is 1944971893. The next prime is 1944971939. The reversal of 1944971904 is 4091794491.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617357 + ... + 2618099.

It is an arithmetic number, because the mean of its divisors is an integer number (42900435).

Almost surely, 2^1944971904 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 1944971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745627840).

1944971904 is an abundant number, since it is smaller than the sum of its proper divisors (3546283776).

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

1944971904 is a wasteful number, since it uses less digits than its factorization.

1944971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1944971904 is about 44101.8356080560. The cubic root of 1944971904 is about 1248.2582470178.

The spelling of 1944971904 in words is "one billion, nine hundred forty-four million, nine hundred seventy-one thousand, nine hundred four".