1919672448 has 128 divisors (see below), whose sum is σ = 5419872000. Its totient is φ = 600302592.

The previous prime is 1919672423. The next prime is 1919672471. The reversal of 1919672448 is 8442769191.

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

It is a super-2 number, since 2×1919672448² = 7370284615220625408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1919672448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779443 + ... + 781901.

It is an arithmetic number, because the mean of its divisors is an integer number (42342750).

Almost surely, 2^1919672448 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 1919672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709936000).

1919672448 is an abundant number, since it is smaller than the sum of its proper divisors (3500199552).

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

1919672448 is a wasteful number, since it uses less digits than its factorization.

1919672448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2590 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1919672448 is about 43814.0667822561. The cubic root of 1919672448 is about 1242.8223191798.

The spelling of 1919672448 in words is "one billion, nine hundred nineteen million, six hundred seventy-two thousand, four hundred forty-eight".