1993374432 has 144 divisors (see below), whose sum is σ = 6492874752. Its totient is φ = 568270080.

The previous prime is 1993374407. The next prime is 1993374463. The reversal of 1993374432 is 2344733991.

1993374432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271313 + ... + 1272879.

It is an arithmetic number, because the mean of its divisors is an integer number (45089408).

Almost surely, 2^1993374432 is an apocalyptic number.

1993374432 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 1993374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246437376).

1993374432 is an abundant number, since it is smaller than the sum of its proper divisors (4499500320).

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

1993374432 is a wasteful number, since it uses less digits than its factorization.

1993374432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2210 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 1993374432 is about 44647.2219964468. The cubic root of 1993374432 is about 1258.5282286236.

The spelling of 1993374432 in words is "one billion, nine hundred ninety-three million, three hundred seventy-four thousand, four hundred thirty-two".