1993182840 has 384 divisors, whose sum is σ = 7581600000. Its totient is φ = 449003520.

The previous prime is 1993182823. The next prime is 1993182881. The reversal of 1993182840 is 482813991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4438936 + ... + 4439384.

It is an arithmetic number, because the mean of its divisors is an integer number (19743750).

Almost surely, 2^1993182840 is an apocalyptic number.

1993182840 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 1993182840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800000).

1993182840 is an abundant number, since it is smaller than the sum of its proper divisors (5588417160).

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

1993182840 is a wasteful number, since it uses less digits than its factorization.

1993182840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1993182840 is about 44645.0763242712. The cubic root of 1993182840 is about 1258.4879064339.

The spelling of 1993182840 in words is "one billion, nine hundred ninety-three million, one hundred eighty-two thousand, eight hundred forty".