1641997224 has 256 divisors, whose sum is σ = 5573836800. Its totient is φ = 437197824.

The previous prime is 1641997219. The next prime is 1641997229. The reversal of 1641997224 is 4227991461.

1641997224 is a `hidden beast` number, since 1 + 6 + 419 + 9 + 7 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (1641997219) and next prime (1641997229).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1641997224.

It is not an unprimeable number, because it can be changed into a prime (1641997229) 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 63 ways as a sum of consecutive naturals, for example, 3264157 + ... + 3264659.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^1641997224 is an apocalyptic number.

1641997224 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 1641997224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

1641997224 is an abundant number, since it is smaller than the sum of its proper divisors (3931839576).

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

1641997224 is a wasteful number, since it uses less digits than its factorization.

1641997224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1641997224 is about 40521.5649253580. The cubic root of 1641997224 is about 1179.7522279736.

The spelling of 1641997224 in words is "one billion, six hundred forty-one million, nine hundred ninety-seven thousand, two hundred twenty-four".