1638980224 has 80 divisors (see below), whose sum is σ = 3809836170. Its totient is φ = 702288384.

The previous prime is 1638980173. The next prime is 1638980237. The reversal of 1638980224 is 4220898361.

It can be written as a sum of positive squares in only one way, i.e., 864360000 + 774620224 = 29400^2 + 27832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 304662 + ... + 309994.

Almost surely, 2^1638980224 is an apocalyptic number.

1638980224 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 1638980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904918085).

1638980224 is an abundant number, since it is smaller than the sum of its proper divisors (2170855946).

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

1638980224 is an frugal number, since it uses more digits than its factorization.

1638980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1638980224 is about 40484.3207180261. The cubic root of 1638980224 is about 1179.0292274301.

The spelling of 1638980224 in words is "one billion, six hundred thirty-eight million, nine hundred eighty thousand, two hundred twenty-four".