2565840040 has 32 divisors (see below), whose sum is σ = 5859312480. Its totient is φ = 1011016512.

The previous prime is 2565840029. The next prime is 2565840041. The reversal of 2565840040 is 400485652.

It is a super-2 number, since 2×2565840040² = 13167070221734403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2565839978 and 2565840005.

It is not an unprimeable number, because it can be changed into a prime (2565840041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 476022 + ... + 481381.

It is an arithmetic number, because the mean of its divisors is an integer number (183103515).

Almost surely, 2^2565840040 is an apocalyptic number.

2565840040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565840040 is an abundant number, since it is smaller than the sum of its proper divisors (3293472440).

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

2565840040 is a wasteful number, since it uses less digits than its factorization.

2565840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957481 (or 957477 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2565840040 is about 50654.1216486872. The cubic root of 2565840040 is about 1369.0202098117.

The spelling of 2565840040 in words is "two billion, five hundred sixty-five million, eight hundred forty thousand, forty".