2386032768 has 512 divisors, whose sum is σ = 8812800000. Its totient is φ = 620089344.

The previous prime is 2386032731. The next prime is 2386032793. The reversal of 2386032768 is 8672306832.

2386032768 is a `hidden beast` number, since 2 + 38 + 603 + 2 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13329703 + ... + 13329881.

It is an arithmetic number, because the mean of its divisors is an integer number (17212500).

Almost surely, 2^2386032768 is an apocalyptic number.

2386032768 is a gapful number since it is divisible by the number (28) 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 2386032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400000).

2386032768 is an abundant number, since it is smaller than the sum of its proper divisors (6426767232).

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

2386032768 is a wasteful number, since it uses less digits than its factorization.

2386032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2386032768 is about 48847.0343828569. The cubic root of 2386032768 is about 1336.2635883754.

The spelling of 2386032768 in words is "two billion, three hundred eighty-six million, thirty-two thousand, seven hundred sixty-eight".