1993512820 has 96 divisors (see below), whose sum is σ = 4804627968. Its totient is φ = 688269312.

The previous prime is 1993512767. The next prime is 1993512821. The reversal of 1993512820 is 282153991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993512821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719077 + ... + 721843.

It is an arithmetic number, because the mean of its divisors is an integer number (50048208).

Almost surely, 2^1993512820 is an apocalyptic number.

1993512820 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 1993512820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402313984).

1993512820 is an abundant number, since it is smaller than the sum of its proper divisors (2811115148).

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

1993512820 is a wasteful number, since it uses less digits than its factorization.

1993512820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1993512820 is about 44648.7717636219. The cubic root of 1993512820 is about 1258.5573519653.

The spelling of 1993512820 in words is "one billion, nine hundred ninety-three million, five hundred twelve thousand, eight hundred twenty".