2559113440 has 48 divisors (see below), whose sum is σ = 6510980448. Its totient is φ = 944902656.

The previous prime is 2559113339. The next prime is 2559113467. The reversal of 2559113440 is 443119552.

It is a junction number, because it is equal to n+sod(n) for n = 2559113396 and 2559113405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613092 + ... + 617251.

It is an arithmetic number, because the mean of its divisors is an integer number (135645426).

Almost surely, 2^2559113440 is an apocalyptic number.

2559113440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2559113440 is an abundant number, since it is smaller than the sum of its proper divisors (3951867008).

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

2559113440 is a wasteful number, since it uses less digits than its factorization.

2559113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230371 (or 1230363 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2559113440 is about 50587.6807137864. The cubic root of 2559113440 is about 1367.8228228297.

The spelling of 2559113440 in words is "two billion, five hundred fifty-nine million, one hundred thirteen thousand, four hundred forty".