2609262845280 has 1152 divisors, whose sum is σ = 11607950592000. Its totient is φ = 535607894016.

The previous prime is 2609262845239. The next prime is 2609262845281. The reversal of 2609262845280 is 825482629062.

It is a happy number.

2609262845280 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 2 + 628 + 4 + 5 + 2 + 8 + 0 = 666.

2609262845280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609262845281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189083821 + ... + 189097619.

It is an arithmetic number, because the mean of its divisors is an integer number (10076346000).

Almost surely, 2^{2609262845280} is an apocalyptic number.

2609262845280 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 2609262845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803975296000).

2609262845280 is an abundant number, since it is smaller than the sum of its proper divisors (8998687746720).

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

2609262845280 is a wasteful number, since it uses less digits than its factorization.

2609262845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2609262845280 in words is "two trillion, six hundred nine billion, two hundred sixty-two million, eight hundred forty-five thousand, two hundred eighty".