2568270240 has 240 divisors, whose sum is σ = 9597844872. Its totient is φ = 644530176.

The previous prime is 2568270203. The next prime is 2568270293. The reversal of 2568270240 is 420728652.

2568270240 is a `hidden beast` number, since 2 + 568 + 2 + 70 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2471680656 + 96589584 = 49716^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2568270195 and 2568270204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214492 + ... + 226148.

Almost surely, 2^2568270240 is an apocalyptic number.

2568270240 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 2568270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798922436).

2568270240 is an abundant number, since it is smaller than the sum of its proper divisors (7029574632).

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

2568270240 is a wasteful number, since it uses less digits than its factorization.

2568270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11701 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2568270240 is about 50678.1041476494. The cubic root of 2568270240 is about 1369.4522896299.

Adding to 2568270240 its reverse (420728652), we get a palindrome (2988998892).

The spelling of 2568270240 in words is "two billion, five hundred sixty-eight million, two hundred seventy thousand, two hundred forty".