2560115424 has 48 divisors (see below), whose sum is σ = 6876600192. Its totient is φ = 833524608.

The previous prime is 2560115419. The next prime is 2560115429. The reversal of 2560115424 is 4245110652.

It is an interprime number because it is at equal distance from previous prime (2560115419) and next prime (2560115429).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2560115391 and 2560115400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560115429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305964 + ... + 314219.

It is an arithmetic number, because the mean of its divisors is an integer number (143262504).

Almost surely, 2^2560115424 is an apocalyptic number.

2560115424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2560115424 is an abundant number, since it is smaller than the sum of its proper divisors (4316484768).

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

2560115424 is a wasteful number, since it uses less digits than its factorization.

2560115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620239 (or 620231 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2560115424 is about 50597.5831833893. The cubic root of 2560115424 is about 1368.0013166432.

The spelling of 2560115424 in words is "two billion, five hundred sixty million, one hundred fifteen thousand, four hundred twenty-four".