2381829120 has 528 divisors, whose sum is σ = 9319385088. Its totient is φ = 557383680.

The previous prime is 2381829077. The next prime is 2381829127. The reversal of 2381829120 is 219281832.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381829127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18754497 + ... + 18754623.

Almost surely, 2^2381829120 is an apocalyptic number.

2381829120 is a gapful number since it is divisible by the number (20) 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 2381829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659692544).

2381829120 is an abundant number, since it is smaller than the sum of its proper divisors (6937555968).

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

2381829120 is a wasteful number, since it uses less digits than its factorization.

2381829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2381829120 is about 48803.9867223980. The cubic root of 2381829120 is about 1335.4783960677.

The spelling of 2381829120 in words is "two billion, three hundred eighty-one million, eight hundred twenty-nine thousand, one hundred twenty".