2566609416 has 120 divisors (see below), whose sum is σ = 8362681470. Its totient is φ = 733307904.

The previous prime is 2566609411. The next prime is 2566609439. The reversal of 2566609416 is 6149066652.

It can be written as a sum of positive squares in only one way, i.e., 2185188516 + 381420900 = 46746^2 + 19530^2 .

It is a super-2 number, since 2×2566609416² = 13174967788599722112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2566609411) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8665 + ... + 72168.

Almost surely, 2^2566609416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566609416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181340735).

2566609416 is an abundant number, since it is smaller than the sum of its proper divisors (5796072054).

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

2566609416 is a wasteful number, since it uses less digits than its factorization.

2566609416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80865 (or 80845 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2566609416 is about 50661.7154861538. The cubic root of 2566609416 is about 1369.1570312836.

The spelling of 2566609416 in words is "two billion, five hundred sixty-six million, six hundred nine thousand, four hundred sixteen".