1924248816 has 360 divisors, whose sum is σ = 6668573184. Its totient is φ = 515370240.

The previous prime is 1924248811. The next prime is 1924248871. The reversal of 1924248816 is 6188424291.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1924248811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11522365 + ... + 11522531.

Almost surely, 2^1924248816 is an apocalyptic number.

1924248816 is a gapful number since it is divisible by the number (16) 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 1924248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

1924248816 is an abundant number, since it is smaller than the sum of its proper divisors (4744324368).

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

1924248816 is a wasteful number, since it uses less digits than its factorization.

1924248816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1924248816 is about 43866.2605654961. The cubic root of 1924248816 is about 1243.8091366005.

The spelling of 1924248816 in words is "one billion, nine hundred twenty-four million, two hundred forty-eight thousand, eight hundred sixteen".