2378608128 has 240 divisors, whose sum is σ = 7529361840. Its totient is φ = 718405632.

The previous prime is 2378608121. The next prime is 2378608139. The reversal of 2378608128 is 8218068732.

2378608128 is a `hidden beast` number, since 2 + 37 + 8 + 608 + 1 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378608121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534000 + ... + 3534672.

It is an arithmetic number, because the mean of its divisors is an integer number (31372341).

Almost surely, 2^2378608128 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 2378608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764680920).

2378608128 is an abundant number, since it is smaller than the sum of its proper divisors (5150753712).

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

2378608128 is a wasteful number, since it uses less digits than its factorization.

2378608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2378608128 is about 48770.9762871321. The cubic root of 2378608128 is about 1334.8761270410.

The spelling of 2378608128 in words is "two billion, three hundred seventy-eight million, six hundred eight thousand, one hundred twenty-eight".