1990481584 has 320 divisors, whose sum is σ = 5399654400. Its totient is φ = 688472064.

The previous prime is 1990481569. The next prime is 1990481593. The reversal of 1990481584 is 4851840991.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33736947 + ... + 33737005.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^1990481584 is an apocalyptic number.

1990481584 is a gapful number since it is divisible by the number (14) 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 1990481584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

1990481584 is an abundant number, since it is smaller than the sum of its proper divisors (3409172816).

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

1990481584 is a wasteful number, since it uses less digits than its factorization.

1990481584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The square root of 1990481584 is about 44614.8135040370. The cubic root of 1990481584 is about 1257.9191285614.

The spelling of 1990481584 in words is "one billion, nine hundred ninety million, four hundred eighty-one thousand, five hundred eighty-four".