2566181280 has 288 divisors, whose sum is σ = 9253972224. Its totient is φ = 594100224.

The previous prime is 2566181251. The next prime is 2566181281. The reversal of 2566181280 is 821816652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2566181281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802649 + ... + 1804071.

It is an arithmetic number, because the mean of its divisors is an integer number (32131848).

Almost surely, 2^2566181280 is an apocalyptic number.

2566181280 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 2566181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626986112).

2566181280 is an abundant number, since it is smaller than the sum of its proper divisors (6687790944).

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

2566181280 is a wasteful number, since it uses less digits than its factorization.

2566181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2566181280 is about 50657.4898706993. The cubic root of 2566181280 is about 1369.0808973761.

The spelling of 2566181280 in words is "two billion, five hundred sixty-six million, one hundred eighty-one thousand, two hundred eighty".