2380461415416 has 192 divisors, whose sum is σ = 7677209729280. Its totient is φ = 676907642880.

The previous prime is 2380461415393. The next prime is 2380461415421. The reversal of 2380461415416 is 6145141640832.

2380461415416 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 4 + 61 + 41 + 541 + 6 = 666.

It is a super-3 number, since 3×2380461415416³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456760 + ... + 3285816.

It is an arithmetic number, because the mean of its divisors is an integer number (39985467340).

Almost surely, 2^{2380461415416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380461415416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838604864640).

2380461415416 is an abundant number, since it is smaller than the sum of its proper divisors (5296748313864).

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

2380461415416 is a wasteful number, since it uses less digits than its factorization.

2380461415416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829296 (or 829280 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2380461415416 in words is "two trillion, three hundred eighty billion, four hundred sixty-one million, four hundred fifteen thousand, four hundred sixteen".