1993834752 has 288 divisors, whose sum is σ = 6681034752. Its totient is φ = 513810432.

The previous prime is 1993834729. The next prime is 1993834753. The reversal of 1993834752 is 2574383991.

It is a junction number, because it is equal to n+sod(n) for n = 1993834695 and 1993834704.

It is not an unprimeable number, because it can be changed into a prime (1993834753) 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 31 ways as a sum of consecutive naturals, for example, 3284433 + ... + 3285039.

Almost surely, 2^1993834752 is an apocalyptic number.

1993834752 is a gapful number since it is divisible by the number (12) 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 1993834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340517376).

1993834752 is an abundant number, since it is smaller than the sum of its proper divisors (4687200000).

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

1993834752 is a wasteful number, since it uses less digits than its factorization.

1993834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 1993834752 is about 44652.3767788457. The cubic root of 1993834752 is about 1258.6250963799.

The spelling of 1993834752 in words is "one billion, nine hundred ninety-three million, eight hundred thirty-four thousand, seven hundred fifty-two".