1919788920 has 384 divisors, whose sum is σ = 7741319040. Its totient is φ = 402554880.

The previous prime is 1919788883. The next prime is 1919788933. The reversal of 1919788920 is 298879191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755894 + ... + 1756986.

It is an arithmetic number, because the mean of its divisors is an integer number (20159685).

Almost surely, 2^1919788920 is an apocalyptic number.

1919788920 is a gapful number since it is divisible by the number (10) 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 1919788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870659520).

1919788920 is an abundant number, since it is smaller than the sum of its proper divisors (5821530120).

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

1919788920 is a wasteful number, since it uses less digits than its factorization.

1919788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The square root of 1919788920 is about 43815.3959242639. The cubic root of 1919788920 is about 1242.8474538625.

The spelling of 1919788920 in words is "one billion, nine hundred nineteen million, seven hundred eighty-eight thousand, nine hundred twenty".