1984248000 has 672 divisors, whose sum is σ = 8439595008. Its totient is φ = 435456000.

The previous prime is 1984247989. The next prime is 1984248001. The reversal of 1984248000 is 8424891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1984248001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15623937 + ... + 15624063.

It is a vampire number, since it can be written as 21000 ⋅ 94488 (with its own digits).

Almost surely, 2^1984248000 is an apocalyptic number.

1984248000 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 1984248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219797504).

1984248000 is an abundant number, since it is smaller than the sum of its proper divisors (6455347008).

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

1984248000 is a wasteful number, since it uses less digits than its factorization.

1984248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1984248000 is about 44544.8986978307. The cubic root of 1984248000 is about 1256.6046151194.

The spelling of 1984248000 in words is "one billion, nine hundred eighty-four million, two hundred forty-eight thousand".