2566947180 has 192 divisors, whose sum is σ = 8616867840. Its totient is φ = 558544896.

The previous prime is 2566947169. The next prime is 2566947191. The reversal of 2566947180 is 817496652.

It is an interprime number because it is at equal distance from previous prime (2566947169) and next prime (2566947191).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887697 + ... + 890583.

It is an arithmetic number, because the mean of its divisors is an integer number (44879520).

Almost surely, 2^2566947180 is an apocalyptic number.

2566947180 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 2566947180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308433920).

2566947180 is an abundant number, since it is smaller than the sum of its proper divisors (6049920660).

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

2566947180 is a wasteful number, since it uses less digits than its factorization.

2566947180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2566947180 is about 50665.0488996113. The cubic root of 2566947180 is about 1369.2170886843.

The spelling of 2566947180 in words is "two billion, five hundred sixty-six million, nine hundred forty-seven thousand, one hundred eighty".