1919149920 has 144 divisors (see below), whose sum is σ = 6609723120. Its totient is φ = 507036672.

The previous prime is 1919149913. The next prime is 1919149931. The reversal of 1919149920 is 299419191.

1919149920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150847 + ... + 163073.

It is an arithmetic number, because the mean of its divisors is an integer number (45900855).

Almost surely, 2^1919149920 is an apocalyptic number.

1919149920 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 1919149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304861560).

1919149920 is an abundant number, since it is smaller than the sum of its proper divisors (4690573200).

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

1919149920 is a wasteful number, since it uses less digits than its factorization.

1919149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 1919149920 is about 43808.1033599949. The cubic root of 1919149920 is about 1242.7095450114.

The spelling of 1919149920 in words is "one billion, nine hundred nineteen million, one hundred forty-nine thousand, nine hundred twenty".