2566346442 has 64 divisors (see below), whose sum is σ = 5687193600. Its totient is φ = 765535680.

The previous prime is 2566346441. The next prime is 2566346459. The reversal of 2566346442 is 2446436652.

It is a super-4 number, since 4×2566346442⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2566346394 and 2566346403.

It is not an unprimeable number, because it can be changed into a prime (2566346441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653443 + ... + 2654409.

It is an arithmetic number, because the mean of its divisors is an integer number (88862400).

Almost surely, 2^2566346442 is an apocalyptic number.

2566346442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566346442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843596800).

2566346442 is an abundant number, since it is smaller than the sum of its proper divisors (3120847158).

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

2566346442 is a wasteful number, since it uses less digits than its factorization.

2566346442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571.

The product of its digits is 829440, while the sum is 42.

The square root of 2566346442 is about 50659.1200278884. The cubic root of 2566346442 is about 1369.1102685523.

The spelling of 2566346442 in words is "two billion, five hundred sixty-six million, three hundred forty-six thousand, four hundred forty-two".