1984212480 has 320 divisors, whose sum is σ = 6717427200. Its totient is φ = 498892800.

The previous prime is 1984212469. The next prime is 1984212487. The reversal of 1984212480 is 842124891.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984212487) 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, 13140405 + ... + 13140555.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^1984212480 is an apocalyptic number.

1984212480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 44544×44545.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358713600).

1984212480 is an abundant number, since it is smaller than the sum of its proper divisors (4733214720).

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

1984212480 is a wasteful number, since it uses less digits than its factorization.

1984212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1984212480 is about 44544.4999971938. The cubic root of 1984212480 is about 1256.5971169199.

The spelling of 1984212480 in words is "one billion, nine hundred eighty-four million, two hundred twelve thousand, four hundred eighty".