2569825830 has 288 divisors, whose sum is σ = 7570402560. Its totient is φ = 557356800.

The previous prime is 2569825801. The next prime is 2569825837. The reversal of 2569825830 is 385289652.

It is a self number, because there is not a number n which added to its sum of digits gives 2569825830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569825837) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36194695 + ... + 36194765.

It is an arithmetic number, because the mean of its divisors is an integer number (26286120).

Almost surely, 2^2569825830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569825830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785201280).

2569825830 is an abundant number, since it is smaller than the sum of its proper divisors (5000576730).

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

2569825830 is a wasteful number, since it uses less digits than its factorization.

2569825830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 2569825830 is about 50693.4495768438. The cubic root of 2569825830 is about 1369.7287242373.

The spelling of 2569825830 in words is "two billion, five hundred sixty-nine million, eight hundred twenty-five thousand, eight hundred thirty".