1984864224 has 48 divisors (see below), whose sum is σ = 5954594688. Its totient is φ = 567103872.

The previous prime is 1984864207. The next prime is 1984864229. The reversal of 1984864224 is 4224684891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984864229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476162 + ... + 1477505.

It is an arithmetic number, because the mean of its divisors is an integer number (124054056).

Almost surely, 2^1984864224 is an apocalyptic number.

1984864224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1984864224 is an abundant number, since it is smaller than the sum of its proper divisors (3969730464).

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

1984864224 is a wasteful number, since it uses less digits than its factorization.

1984864224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953687 (or 2953679 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 1984864224 is about 44551.8150472009. The cubic root of 1984864224 is about 1256.7346845086.

The spelling of 1984864224 in words is "one billion, nine hundred eighty-four million, eight hundred sixty-four thousand, two hundred twenty-four".