2478076128 has 432 divisors, whose sum is σ = 8470163520. Its totient is φ = 683950080.

The previous prime is 2478076103. The next prime is 2478076201. The reversal of 2478076128 is 8216708742.

2478076128 is a `hidden beast` number, since 24 + 7 + 8 + 0 + 7 + 612 + 8 = 666.

It is a super-2 number, since 2×2478076128² = 12281722592326944768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27843508 + ... + 27843596.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^2478076128 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 2478076128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235081760).

2478076128 is an abundant number, since it is smaller than the sum of its proper divisors (5992087392).

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

2478076128 is a wasteful number, since it uses less digits than its factorization.

2478076128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2478076128 is about 49780.2785046448. The cubic root of 2478076128 is about 1353.2297844905.

The spelling of 2478076128 in words is "two billion, four hundred seventy-eight million, seventy-six thousand, one hundred twenty-eight".