2381416824 has 64 divisors (see below), whose sum is σ = 6023082240. Its totient is φ = 784569600.

The previous prime is 2381416801. The next prime is 2381416837. The reversal of 2381416824 is 4286141832.

2381416824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2381416824² = 11342292179260493952, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1542597 + ... + 1544139.

It is an arithmetic number, because the mean of its divisors is an integer number (94110660).

Almost surely, 2^2381416824 is an apocalyptic number.

2381416824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2381416824 is an abundant number, since it is smaller than the sum of its proper divisors (3641665416).

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

2381416824 is a wasteful number, since it uses less digits than its factorization.

2381416824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2256 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 2381416824 is about 48799.7625404059. The cubic root of 2381416824 is about 1335.4013342598.

The spelling of 2381416824 in words is "two billion, three hundred eighty-one million, four hundred sixteen thousand, eight hundred twenty-four".