1829119968 has 240 divisors, whose sum is σ = 6100229520. Its totient is φ = 532998144.

The previous prime is 1829119909. The next prime is 1829119991. The reversal of 1829119968 is 8699119281.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638796 + ... + 641652.

It is an arithmetic number, because the mean of its divisors is an integer number (25417623).

Almost surely, 2^1829119968 is an apocalyptic number.

1829119968 is a gapful number since it is divisible by the number (18) 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 1829119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050114760).

1829119968 is an abundant number, since it is smaller than the sum of its proper divisors (4271109552).

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

1829119968 is a wasteful number, since it uses less digits than its factorization.

1829119968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2894 counting only the distinct ones).

The product of its digits is 559872, while the sum is 54.

The square root of 1829119968 is about 42768.2121206861. The cubic root of 1829119968 is about 1222.9650998568.

The spelling of 1829119968 in words is "one billion, eight hundred twenty-nine million, one hundred nineteen thousand, nine hundred sixty-eight".