1993531824 has 100 divisors (see below), whose sum is σ = 5878927296. Its totient is φ = 651950208.

The previous prime is 1993531817. The next prime is 1993531853. The reversal of 1993531824 is 4281353991.

It is a happy number.

1993531824 is a `hidden beast` number, since 1 + 9 + 93 + 531 + 8 + 24 = 666.

1993531824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1993531824.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54177 + ... + 83199.

Almost surely, 2^1993531824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993531824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939463648).

1993531824 is an abundant number, since it is smaller than the sum of its proper divisors (3885395472).

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

1993531824 is a wasteful number, since it uses less digits than its factorization.

1993531824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29096 (or 29081 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 1993531824 is about 44648.9845797192. The cubic root of 1993531824 is about 1258.5613511952.

The spelling of 1993531824 in words is "one billion, nine hundred ninety-three million, five hundred thirty-one thousand, eight hundred twenty-four".