1984739120 has 480 divisors, whose sum is σ = 6412089600. Its totient is φ = 563576832.

The previous prime is 1984739117. The next prime is 1984739131. The reversal of 1984739120 is 219374891.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25123241 + ... + 25123319.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 2^1984739120 is an apocalyptic number.

1984739120 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 1984739120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

1984739120 is an abundant number, since it is smaller than the sum of its proper divisors (4427350480).

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

1984739120 is a wasteful number, since it uses less digits than its factorization.

1984739120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1984739120 is about 44550.4109969818. The cubic root of 1984739120 is about 1256.7082803785.

The spelling of 1984739120 in words is "one billion, nine hundred eighty-four million, seven hundred thirty-nine thousand, one hundred twenty".