2569245930768 has 160 divisors (see below), whose sum is σ = 7563373056000. Its totient is φ = 743924177920.

The previous prime is 2569245930763. The next prime is 2569245930803. The reversal of 2569245930768 is 8670395429652.

2569245930768 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 2569245930699 and 2569245930708.

It is not an unprimeable number, because it can be changed into a prime (2569245930761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11462233 + ... + 11684231.

It is an arithmetic number, because the mean of its divisors is an integer number (47271081600).

Almost surely, 2^{2569245930768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569245930768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781686528000).

2569245930768 is an abundant number, since it is smaller than the sum of its proper divisors (4994127125232).

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

2569245930768 is a wasteful number, since it uses less digits than its factorization.

2569245930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222997 (or 222991 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 2569245930768 in words is "two trillion, five hundred sixty-nine billion, two hundred forty-five million, nine hundred thirty thousand, seven hundred sixty-eight".