1930019840 has 220 divisors, whose sum is σ = 5435497356. Its totient is φ = 657506304.

The previous prime is 1930019801. The next prime is 1930019873. The reversal of 1930019840 is 489100391.

It can be written as a sum of positive squares in 2 ways, for example, as 629407744 + 1300612096 = 25088^2 + 36064^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1930019840.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12293042 + ... + 12293198.

Almost surely, 2^1930019840 is an apocalyptic number.

1930019840 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 1930019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717748678).

1930019840 is an abundant number, since it is smaller than the sum of its proper divisors (3505477516).

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

1930019840 is an frugal number, since it uses more digits than its factorization.

1930019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1930019840 is about 43931.9910771183. The cubic root of 1930019840 is about 1245.0513336145.

The spelling of 1930019840 in words is "one billion, nine hundred thirty million, nineteen thousand, eight hundred forty".