2569030128 has 320 divisors, whose sum is σ = 9028787200. Its totient is φ = 683043840.

The previous prime is 2569030099. The next prime is 2569030181. The reversal of 2569030128 is 8210309652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2569030092 and 2569030101.

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, 3504450 + ... + 3505182.

It is an arithmetic number, because the mean of its divisors is an integer number (28214960).

Almost surely, 2^2569030128 is an apocalyptic number.

2569030128 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 2569030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514393600).

2569030128 is an abundant number, since it is smaller than the sum of its proper divisors (6459757072).

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

2569030128 is a wasteful number, since it uses less digits than its factorization.

2569030128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2569030128 is about 50685.6007954922. The cubic root of 2569030128 is about 1369.5873387290.

The spelling of 2569030128 in words is "two billion, five hundred sixty-nine million, thirty thousand, one hundred twenty-eight".