2577946668 has 96 divisors (see below), whose sum is σ = 6817789440. Its totient is φ = 751296000.

The previous prime is 2577946667. The next prime is 2577946669. The reversal of 2577946668 is 8666497752.

It is an interprime number because it is at equal distance from previous prime (2577946667) and next prime (2577946669).

It is not an unprimeable number, because it can be changed into a prime (2577946667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380898 + ... + 387606.

It is an arithmetic number, because the mean of its divisors is an integer number (71018640).

Almost surely, 2^2577946668 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 2577946668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408894720).

2577946668 is an abundant number, since it is smaller than the sum of its proper divisors (4239842772).

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

2577946668 is a wasteful number, since it uses less digits than its factorization.

2577946668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6837 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The square root of 2577946668 is about 50773.4839064644. The cubic root of 2577946668 is about 1371.1700214916.

It can be divided in two parts, 257794 and 6668, that added together give a palindrome (264462).

The spelling of 2577946668 in words is "two billion, five hundred seventy-seven million, nine hundred forty-six thousand, six hundred sixty-eight".