2569080068280 has 896 divisors, whose sum is σ = 9795810513600. Its totient is φ = 605635937280.

The previous prime is 2569080068279. The next prime is 2569080068293. The reversal of 2569080068280 is 828600809652.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1436041626 + ... + 1436043414.

Almost surely, 2^{2569080068280} is an apocalyptic number.

2569080068280 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 2569080068280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897905256800).

2569080068280 is an abundant number, since it is smaller than the sum of its proper divisors (7226730445320).

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

2569080068280 is a wasteful number, since it uses less digits than its factorization.

2569080068280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2569080068280 in words is "two trillion, five hundred sixty-nine billion, eighty million, sixty-eight thousand, two hundred eighty".