1993850880 has 480 divisors, whose sum is σ = 7801167360. Its totient is φ = 424673280.

The previous prime is 1993850867. The next prime is 1993850917. The reversal of 1993850880 is 880583991.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32686050 + ... + 32686110.

It is an arithmetic number, because the mean of its divisors is an integer number (16252432).

Almost surely, 2^1993850880 is an apocalyptic number.

1993850880 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 1993850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900583680).

1993850880 is an abundant number, since it is smaller than the sum of its proper divisors (5807316480).

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

1993850880 is an equidigital number, since it uses as much as digits as its factorization.

1993850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 1993850880 is about 44652.5573735704. The cubic root of 1993850880 is about 1258.6284900164.

The spelling of 1993850880 in words is "one billion, nine hundred ninety-three million, eight hundred fifty thousand, eight hundred eighty".