1919431872 has 84 divisors (see below), whose sum is σ = 5618841696. Its totient is φ = 626188800.

The previous prime is 1919431861. The next prime is 1919431907. The reversal of 1919431872 is 2781349191.

It is a super-2 number, since 2×1919431872² = 7368437422498848768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8379 + ... + 62522.

Almost surely, 2^1919431872 is an apocalyptic number.

1919431872 is a gapful number since it is divisible by the number (12) 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 1919431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809420848).

1919431872 is an abundant number, since it is smaller than the sum of its proper divisors (3699409824).

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

1919431872 is a wasteful number, since it uses less digits than its factorization.

1919431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70966 (or 70953 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1919431872 is about 43811.3212765833. The cubic root of 1919431872 is about 1242.7703996082.

The spelling of 1919431872 in words is "one billion, nine hundred nineteen million, four hundred thirty-one thousand, eight hundred seventy-two".