2569250880 has 448 divisors, whose sum is σ = 10814791680. Its totient is φ = 561420288.

The previous prime is 2569250869. The next prime is 2569250899. The reversal of 2569250880 is 880529652.

2569250880 is a `hidden beast` number, since 2 + 5 + 69 + 2 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390117 + ... + 1391963.

It is an arithmetic number, because the mean of its divisors is an integer number (24140160).

Almost surely, 2^2569250880 is an apocalyptic number.

2569250880 is a gapful number since it is divisible by the number (20) 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 2569250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407395840).

2569250880 is an abundant number, since it is smaller than the sum of its proper divisors (8245540800).

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

2569250880 is a wasteful number, since it uses less digits than its factorization.

2569250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2569250880 is about 50687.7784086065. The cubic root of 2569250880 is about 1369.6265663064.

The spelling of 2569250880 in words is "two billion, five hundred sixty-nine million, two hundred fifty thousand, eight hundred eighty".