2578363128 has 192 divisors, whose sum is σ = 7848247680. Its totient is φ = 758073600.

The previous prime is 2578363127. The next prime is 2578363147. The reversal of 2578363128 is 8213638752.

2578363128 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 3 + 631 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578363121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4009575 + ... + 4010217.

It is an arithmetic number, because the mean of its divisors is an integer number (40876290).

Almost surely, 2^2578363128 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 2578363128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

2578363128 is an abundant number, since it is smaller than the sum of its proper divisors (5269884552).

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

2578363128 is a wasteful number, since it uses less digits than its factorization.

2578363128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2578363128 is about 50777.5848972753. The cubic root of 2578363128 is about 1371.2438537301.

The spelling of 2578363128 in words is "two billion, five hundred seventy-eight million, three hundred sixty-three thousand, one hundred twenty-eight".