2577028608 has 480 divisors, whose sum is σ = 9651882240. Its totient is φ = 666869760.

The previous prime is 2577028607. The next prime is 2577028673. The reversal of 2577028608 is 8068207752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577028607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9579898 + ... + 9580166.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^2577028608 is an apocalyptic number.

2577028608 is a gapful number since it is divisible by the number (28) 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 2577028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2577028608 is an abundant number, since it is smaller than the sum of its proper divisors (7074853632).

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

2577028608 is an equidigital number, since it uses as much as digits as its factorization.

2577028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2577028608 is about 50764.4423588007. The cubic root of 2577028608 is about 1371.0072348540.

The spelling of 2577028608 in words is "two billion, five hundred seventy-seven million, twenty-eight thousand, six hundred eight".