1984813200 has 240 divisors, whose sum is σ = 7256856960. Its totient is φ = 514874880.

The previous prime is 1984813183. The next prime is 1984813211. The reversal of 1984813200 is 23184891.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397117 + ... + 402083.

It is an arithmetic number, because the mean of its divisors is an integer number (30236904).

Almost surely, 2^1984813200 is an apocalyptic number.

1984813200 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 1984813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628428480).

1984813200 is an abundant number, since it is smaller than the sum of its proper divisors (5272043760).

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

1984813200 is a wasteful number, since it uses less digits than its factorization.

1984813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1984813200 is about 44551.2424069184. The cubic root of 1984813200 is about 1256.7239156477.

The spelling of 1984813200 in words is "one billion, nine hundred eighty-four million, eight hundred thirteen thousand, two hundred".