1930975680 has 112 divisors (see below), whose sum is σ = 6141659040. Its totient is φ = 514019328.

The previous prime is 1930975667. The next prime is 1930975687. The reversal of 1930975680 is 865790391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930975687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679222 + ... + 682058.

Almost surely, 2^1930975680 is an apocalyptic number.

1930975680 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 1930975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070829520).

1930975680 is an abundant number, since it is smaller than the sum of its proper divisors (4210683360).

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

1930975680 is a wasteful number, since it uses less digits than its factorization.

1930975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1930975680 is about 43942.8683633647. The cubic root of 1930975680 is about 1245.2568364175.

The spelling of 1930975680 in words is "one billion, nine hundred thirty million, nine hundred seventy-five thousand, six hundred eighty".