1984261888 has 144 divisors (see below), whose sum is σ = 4878913536. Its totient is φ = 786677760.

The previous prime is 1984261841. The next prime is 1984261891. The reversal of 1984261888 is 8881624891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276920 + ... + 1278472.

It is an arithmetic number, because the mean of its divisors is an integer number (33881344).

Almost surely, 2^1984261888 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 1984261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439456768).

1984261888 is an abundant number, since it is smaller than the sum of its proper divisors (2894651648).

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

1984261888 is a wasteful number, since it uses less digits than its factorization.

1984261888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 55.

The square root of 1984261888 is about 44545.0545852174. The cubic root of 1984261888 is about 1256.6075468235.

The spelling of 1984261888 in words is "one billion, nine hundred eighty-four million, two hundred sixty-one thousand, eight hundred eighty-eight".