2560106440 has 16 divisors (see below), whose sum is σ = 5760239580. Its totient is φ = 1024042560.

The previous prime is 2560106401. The next prime is 2560106447. The reversal of 2560106440 is 446010652.

It can be written as a sum of positive squares in 2 ways, for example, as 2501400196 + 58706244 = 50014^2 + 7662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2560106399 and 2560106408.

It is not an unprimeable number, because it can be changed into a prime (2560106447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32001291 + ... + 32001370.

Almost surely, 2^2560106440 is an apocalyptic number.

2560106440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560106440 is an abundant number, since it is smaller than the sum of its proper divisors (3200133140).

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

2560106440 is a wasteful number, since it uses less digits than its factorization.

2560106440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64002672 (or 64002668 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2560106440 is about 50597.4944043675. The cubic root of 2560106440 is about 1367.9997164369. Note that the first 3 decimals are identical.

It can be divided in two parts, 256010 and 6440, that added together give a triangular number (262450 = T₇₂₄).

The spelling of 2560106440 in words is "two billion, five hundred sixty million, one hundred six thousand, four hundred forty".