1985421984 has 144 divisors (see below), whose sum is σ = 6529184928. Its totient is φ = 523611648.

The previous prime is 1985421973. The next prime is 1985422009. The reversal of 1985421984 is 4891245891.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44919 + ... + 77385.

It is an arithmetic number, because the mean of its divisors is an integer number (45341562).

Almost surely, 2^1985421984 is an apocalyptic number.

1985421984 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 1985421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264592464).

1985421984 is an abundant number, since it is smaller than the sum of its proper divisors (4543762944).

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

1985421984 is a wasteful number, since it uses less digits than its factorization.

1985421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32507 (or 32492 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 1985421984 is about 44558.0742851394. The cubic root of 1985421984 is about 1256.8523904087.

The spelling of 1985421984 in words is "one billion, nine hundred eighty-five million, four hundred twenty-one thousand, nine hundred eighty-four".