1930729840 has 160 divisors (see below), whose sum is σ = 5124672000. Its totient is φ = 670602240.

The previous prime is 1930729813. The next prime is 1930729841. The reversal of 1930729840 is 489270391.

1930729840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930729841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3931995 + ... + 3932485.

It is an arithmetic number, because the mean of its divisors is an integer number (32029200).

Almost surely, 2^1930729840 is an apocalyptic number.

1930729840 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 1930729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336000).

1930729840 is an abundant number, since it is smaller than the sum of its proper divisors (3193942160).

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

1930729840 is a wasteful number, since it uses less digits than its factorization.

1930729840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 1930729840 is about 43940.0710058598. The cubic root of 1930729840 is about 1245.2039880161.

The spelling of 1930729840 in words is "one billion, nine hundred thirty million, seven hundred twenty-nine thousand, eight hundred forty".