2569382010 has 96 divisors (see below), whose sum is σ = 7361722368. Its totient is φ = 617742720.

The previous prime is 2569381999. The next prime is 2569382059. The reversal of 2569382010 is 102839652.

2569382010 is a `hidden beast` number, since 2 + 569 + 3 + 82 + 0 + 10 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24775 + ... + 75845.

It is an arithmetic number, because the mean of its divisors is an integer number (76684608).

Almost surely, 2^2569382010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569382010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680861184).

2569382010 is an abundant number, since it is smaller than the sum of its proper divisors (4792340358).

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

2569382010 is a wasteful number, since it uses less digits than its factorization.

2569382010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51140 (or 51137 counting only the distinct ones).

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

The square root of 2569382010 is about 50689.0718991776. The cubic root of 2569382010 is about 1369.6498670121.

The spelling of 2569382010 in words is "two billion, five hundred sixty-nine million, three hundred eighty-two thousand, ten".