1969828224 has 192 divisors, whose sum is σ = 6555633840. Its totient is φ = 519450624.

The previous prime is 1969828213. The next prime is 1969828229. The reversal of 1969828224 is 4228289691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1969828229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240582 + ... + 248634.

Almost surely, 2^1969828224 is an apocalyptic number.

1969828224 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 1969828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277816920).

1969828224 is an abundant number, since it is smaller than the sum of its proper divisors (4585805616).

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

1969828224 is a wasteful number, since it uses less digits than its factorization.

1969828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8078 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 1969828224 is about 44382.7469181438. The cubic root of 1969828224 is about 1253.5532444460.

The spelling of 1969828224 in words is "one billion, nine hundred sixty-nine million, eight hundred twenty-eight thousand, two hundred twenty-four".