2566730400 has 144 divisors (see below), whose sum is σ = 8997486624. Its totient is φ = 631802880.

The previous prime is 2566730399. The next prime is 2566730401. The reversal of 2566730400 is 40376652.

It is an interprime number because it is at equal distance from previous prime (2566730399) and next prime (2566730401).

It is not an unprimeable number, because it can be changed into a prime (2566730401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9934 + ... + 72333.

It is an arithmetic number, because the mean of its divisors is an integer number (62482546).

Almost surely, 2^2566730400 is an apocalyptic number.

2566730400 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 2566730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498743312).

2566730400 is an abundant number, since it is smaller than the sum of its proper divisors (6430756224).

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

2566730400 is a wasteful number, since it uses less digits than its factorization.

2566730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82303 (or 82290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2566730400 is about 50662.9095098179. The cubic root of 2566730400 is about 1369.1785439052.

The spelling of 2566730400 in words is "two billion, five hundred sixty-six million, seven hundred thirty thousand, four hundred".