2565414140 has 48 divisors (see below), whose sum is σ = 5489346240. Its totient is φ = 1006924800.

The previous prime is 2565414139. The next prime is 2565414149. The reversal of 2565414140 is 414145652.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2565414097 and 2565414106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565414149) 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 15 ways as a sum of consecutive naturals, for example, 222641 + ... + 233879.

It is an arithmetic number, because the mean of its divisors is an integer number (114361380).

Almost surely, 2^2565414140 is an apocalyptic number.

2565414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565414140 is an abundant number, since it is smaller than the sum of its proper divisors (2923932100).

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

2565414140 is a wasteful number, since it uses less digits than its factorization.

2565414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2565414140 is about 50649.9174727857. The cubic root of 2565414140 is about 1368.9444584058.

Adding to 2565414140 its reverse (414145652), we get a palindrome (2979559792).

The spelling of 2565414140 in words is "two billion, five hundred sixty-five million, four hundred fourteen thousand, one hundred forty".