2577828864 has 176 divisors, whose sum is σ = 7836702048. Its totient is φ = 746323968.

The previous prime is 2577828823. The next prime is 2577828871. The reversal of 2577828864 is 4688287752.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 677014 + ... + 680810.

Almost surely, 2^2577828864 is an apocalyptic number.

2577828864 is a gapful number since it is divisible by the number (24) 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 2577828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918351024).

2577828864 is an abundant number, since it is smaller than the sum of its proper divisors (5258873184).

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

2577828864 is a wasteful number, since it uses less digits than its factorization.

2577828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3832 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 57.

The square root of 2577828864 is about 50772.3237994875. The cubic root of 2577828864 is about 1371.1491351306.

The spelling of 2577828864 in words is "two billion, five hundred seventy-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".