1989434880 has 240 divisors, whose sum is σ = 6983570880. Its totient is φ = 523321344.

The previous prime is 1989434849. The next prime is 1989434891. The reversal of 1989434880 is 884349891.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1989434880³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819614 + ... + 1820706.

It is an arithmetic number, because the mean of its divisors is an integer number (29098212).

Almost surely, 2^1989434880 is an apocalyptic number.

1989434880 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 1989434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491785440).

1989434880 is an abundant number, since it is smaller than the sum of its proper divisors (4994136000).

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

1989434880 is a wasteful number, since it uses less digits than its factorization.

1989434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1989434880 is about 44603.0815078958. The cubic root of 1989434880 is about 1257.6985956924.

The spelling of 1989434880 in words is "one billion, nine hundred eighty-nine million, four hundred thirty-four thousand, eight hundred eighty".