2566353240 has 128 divisors (see below), whose sum is σ = 9332236800. Its totient is φ = 622143360.

The previous prime is 2566353233. The next prime is 2566353301. The reversal of 2566353240 is 423536652.

2566353240 is a `hidden beast` number, since 2 + 5 + 66 + 353 + 240 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 2566353195 and 2566353204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96132 + ... + 119891.

It is an arithmetic number, because the mean of its divisors is an integer number (72908100).

Almost surely, 2^2566353240 is an apocalyptic number.

2566353240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566353240 is an abundant number, since it is smaller than the sum of its proper divisors (6765883560).

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

2566353240 is a wasteful number, since it uses less digits than its factorization.

2566353240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216054 (or 216044 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2566353240 is about 50659.1871233639. The cubic root of 2566353240 is about 1369.1114774309. Note that the first 3 decimals are identical.

Adding to 2566353240 its reverse (423536652), we get a palindrome (2989889892).

The spelling of 2566353240 in words is "two billion, five hundred sixty-six million, three hundred fifty-three thousand, two hundred forty".