1919724048 has 180 divisors, whose sum is σ = 6253716924. Its totient is φ = 547430400.

The previous prime is 1919724029. The next prime is 1919724091. The reversal of 1919724048 is 8404279191.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1685266704 + 234457344 = 41052^2 + 15312^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1919723994 and 1919724012.

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 35 ways as a sum of consecutive naturals, for example, 292968 + ... + 299448.

Almost surely, 2^1919724048 is an apocalyptic number.

1919724048 is a gapful number since it is divisible by the number (18) 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 1919724048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126858462).

1919724048 is an abundant number, since it is smaller than the sum of its proper divisors (4333992876).

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

1919724048 is a wasteful number, since it uses less digits than its factorization.

1919724048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1919724048 is about 43814.6556302797. The cubic root of 1919724048 is about 1242.8334545964.

The spelling of 1919724048 in words is "one billion, nine hundred nineteen million, seven hundred twenty-four thousand, forty-eight".