1978984224 has 168 divisors, whose sum is σ = 6676568640. Its totient is φ = 565377408.

The previous prime is 1978984223. The next prime is 1978984243. The reversal of 1978984224 is 4224898791.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1978984223) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 157237 + ... + 169355.

It is an arithmetic number, because the mean of its divisors is an integer number (39741480).

Almost surely, 2^1978984224 is an apocalyptic number.

1978984224 is a gapful number since it is divisible by the number (14) 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 1978984224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338284320).

1978984224 is an abundant number, since it is smaller than the sum of its proper divisors (4697584416).

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

1978984224 is an equidigital number, since it uses as much as digits as its factorization.

1978984224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12131 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1978984224 is about 44485.7755243179. The cubic root of 1978984224 is about 1255.4924653650.

The spelling of 1978984224 in words is "one billion, nine hundred seventy-eight million, nine hundred eighty-four thousand, two hundred twenty-four".