1919051904 has 256 divisors, whose sum is σ = 6514421760. Its totient is φ = 485990400.

The previous prime is 1919051899. The next prime is 1919051917. The reversal of 1919051904 is 4091509191.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211497 + ... + 1213079.

It is an arithmetic number, because the mean of its divisors is an integer number (25446960).

Almost surely, 2^1919051904 is an apocalyptic number.

1919051904 is a gapful number since it is divisible by the number (14) 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 1919051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257210880).

1919051904 is an abundant number, since it is smaller than the sum of its proper divisors (4595369856).

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

1919051904 is a wasteful number, since it uses less digits than its factorization.

1919051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 39.

The square root of 1919051904 is about 43806.9846485695. The cubic root of 1919051904 is about 1242.6883885102.

The spelling of 1919051904 in words is "one billion, nine hundred nineteen million, fifty-one thousand, nine hundred four".