1990947816 has 256 divisors, whose sum is σ = 6652800000. Its totient is φ = 543594240.

The previous prime is 1990947799. The next prime is 1990947821. The reversal of 1990947816 is 6187490991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327435 + ... + 1328933.

It is an arithmetic number, because the mean of its divisors is an integer number (25987500).

Almost surely, 2^1990947816 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 1990947816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400000).

1990947816 is an abundant number, since it is smaller than the sum of its proper divisors (4661852184).

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

1990947816 is a wasteful number, since it uses less digits than its factorization.

1990947816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 1990947816 is about 44620.0382787823. The cubic root of 1990947816 is about 1258.0173353423.

The spelling of 1990947816 in words is "one billion, nine hundred ninety million, nine hundred forty-seven thousand, eight hundred sixteen".