2569812480 has 440 divisors, whose sum is σ = 9785899332. Its totient is φ = 644972544.

The previous prime is 2569812461. The next prime is 2569812481. The reversal of 2569812480 is 842189652.

2569812480 is a `hidden beast` number, since 2 + 569 + 8 + 1 + 2 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2554695936 + 15116544 = 50544^2 + 3888^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1836 × 1620 × 864.

It is not an unprimeable number, because it can be changed into a prime (2569812481) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 151165432 + ... + 151165448.

Almost surely, 2^2569812480 is an apocalyptic number.

2569812480 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 2569812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892949666).

2569812480 is an abundant number, since it is smaller than the sum of its proper divisors (7216086852).

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

2569812480 is an frugal number, since it uses more digits than its factorization.

2569812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2569812480 is about 50693.3179028558. The cubic root of 2569812480 is about 1369.7263523632.

The spelling of 2569812480 in words is "two billion, five hundred sixty-nine million, eight hundred twelve thousand, four hundred eighty".