2386492416 has 704 divisors, whose sum is σ = 9432576000. Its totient is φ = 577290240.

The previous prime is 2386492393. The next prime is 2386492417. The reversal of 2386492416 is 6142946832.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386492417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40448995 + ... + 40449053.

Almost surely, 2^2386492416 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 2386492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716288000).

2386492416 is an abundant number, since it is smaller than the sum of its proper divisors (7046083584).

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

2386492416 is a wasteful number, since it uses less digits than its factorization.

2386492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2386492416 is about 48851.7391297383. The cubic root of 2386492416 is about 1336.3493892995.

The spelling of 2386492416 in words is "two billion, three hundred eighty-six million, four hundred ninety-two thousand, four hundred sixteen".