1993936340 has 48 divisors (see below), whose sum is σ = 4582497024. Its totient is φ = 722755200.

The previous prime is 1993936303. The next prime is 1993936349. The reversal of 1993936340 is 436393991.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993936349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55445 + ... + 84035.

It is an arithmetic number, because the mean of its divisors is an integer number (95468688).

Almost surely, 2^1993936340 is an apocalyptic number.

1993936340 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 1993936340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291248512).

1993936340 is an abundant number, since it is smaller than the sum of its proper divisors (2588560684).

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

1993936340 is a wasteful number, since it uses less digits than its factorization.

1993936340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28928 (or 28926 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 47.

The square root of 1993936340 is about 44653.5143073868. The cubic root of 1993936340 is about 1258.6464721124.

The spelling of 1993936340 in words is "one billion, nine hundred ninety-three million, nine hundred thirty-six thousand, three hundred forty".