2566218240 has 320 divisors, whose sum is σ = 9215838720. Its totient is φ = 676823040.

The previous prime is 2566218229. The next prime is 2566218241. The reversal of 2566218240 is 428126652.

It is a happy number.

2566218240 is a `hidden beast` number, since 2 + 5 + 6 + 621 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2566218195 and 2566218204.

It is not an unprimeable number, because it can be changed into a prime (2566218241) 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, 9469305 + ... + 9469575.

It is an arithmetic number, because the mean of its divisors is an integer number (28799496).

Almost surely, 2^2566218240 is an apocalyptic number.

2566218240 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 2566218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607919360).

2566218240 is an abundant number, since it is smaller than the sum of its proper divisors (6649620480).

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

2566218240 is a wasteful number, since it uses less digits than its factorization.

2566218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2566218240 is about 50657.8546723013. The cubic root of 2566218240 is about 1369.0874701758.

The spelling of 2566218240 in words is "two billion, five hundred sixty-six million, two hundred eighteen thousand, two hundred forty".