1984811920 has 160 divisors (see below), whose sum is σ = 5777130240. Its totient is φ = 617379840.

The previous prime is 1984811911. The next prime is 1984811923. The reversal of 1984811920 is 291184891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1984811923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427210 + ... + 431830.

It is an arithmetic number, because the mean of its divisors is an integer number (36107064).

Almost surely, 2^1984811920 is an apocalyptic number.

1984811920 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 1984811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888565120).

1984811920 is an abundant number, since it is smaller than the sum of its proper divisors (3792318320).

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

1984811920 is a wasteful number, since it uses less digits than its factorization.

1984811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The square root of 1984811920 is about 44551.2280414356. The cubic root of 1984811920 is about 1256.7236454952.

The spelling of 1984811920 in words is "one billion, nine hundred eighty-four million, eight hundred eleven thousand, nine hundred twenty".