2578834128 has 160 divisors (see below), whose sum is σ = 7584514560. Its totient is φ = 748500480.

The previous prime is 2578834079. The next prime is 2578834157. The reversal of 2578834128 is 8214388752.

2578834128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251963 + ... + 5252453.

It is an arithmetic number, because the mean of its divisors is an integer number (47403216).

Almost surely, 2^2578834128 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 2578834128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792257280).

2578834128 is an abundant number, since it is smaller than the sum of its proper divisors (5005680432).

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

2578834128 is a wasteful number, since it uses less digits than its factorization.

2578834128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 2578834128 is about 50782.2225586868. Note that the first 3 decimals coincide. The cubic root of 2578834128 is about 1371.3273455296.

The spelling of 2578834128 in words is "two billion, five hundred seventy-eight million, eight hundred thirty-four thousand, one hundred twenty-eight".