2381830416 has 225 divisors, whose sum is σ = 7871143319. Its totient is φ = 672323904.

The previous prime is 2381830393. The next prime is 2381830433. The reversal of 2381830416 is 6140381832.

The square root of 2381830416 is 48804.

It is a perfect power (a square), and thus also a powerful number.

2381830416 is a `hidden beast` number, since 238 + 1 + 8 + 3 + 0 + 416 = 666.

It is a super-2 number, since 2×2381830416² = 11346232261165466112, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 28696711 + ... + 28696793.

Almost surely, 2^2381830416 is an apocalyptic number.

2381830416 is the 48804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381830416

2381830416 is an abundant number, since it is smaller than the sum of its proper divisors (5489312903).

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

2381830416 is an frugal number, since it uses more digits than its factorization.

2381830416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 2381830416 is about 1335.4786382876.

Multiplying 2381830416 by its sum of digits (36), we get a square (85745894976 = 292824²).

2381830416 divided by its sum of digits (36) gives a square (66161956 = 8134²).

The spelling of 2381830416 in words is "two billion, three hundred eighty-one million, eight hundred thirty thousand, four hundred sixteen".