2609026560 has 360 divisors, whose sum is σ = 10515572496. Its totient is φ = 596090880.

The previous prime is 2609026559. The next prime is 2609026561. The reversal of 2609026560 is 656209062.

2609026560 is a `hidden beast` number, since 2 + 6 + 0 + 90 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2609026559) and next prime (2609026561).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609026561) 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 35 ways as a sum of consecutive naturals, for example, 1127805 + ... + 1130115.

Almost surely, 2^2609026560 is an apocalyptic number.

2609026560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257786248).

2609026560 is an abundant number, since it is smaller than the sum of its proper divisors (7906545936).

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

2609026560 is a wasteful number, since it uses less digits than its factorization.

2609026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2609026560 is about 51078.6311484558. The cubic root of 2609026560 is about 1376.6583292929.

It can be divided in two parts, 26090 and 26560, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 2609026560 in words is "two billion, six hundred nine million, twenty-six thousand, five hundred sixty".