1984782240 has 432 divisors, whose sum is σ = 8228158848. Its totient is φ = 433585152.

The previous prime is 1984782227. The next prime is 1984782257. The reversal of 1984782240 is 422874891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622269 + ... + 1623491.

It is an arithmetic number, because the mean of its divisors is an integer number (19046664).

Almost surely, 2^1984782240 is an apocalyptic number.

1984782240 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 1984782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114079424).

1984782240 is an abundant number, since it is smaller than the sum of its proper divisors (6243376608).

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

1984782240 is a wasteful number, since it uses less digits than its factorization.

1984782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1984782240 is about 44550.8949405060. The cubic root of 1984782240 is about 1256.7173813007.

The spelling of 1984782240 in words is "one billion, nine hundred eighty-four million, seven hundred eighty-two thousand, two hundred forty".