2577424128 has 144 divisors (see below), whose sum is σ = 7433750016. Its totient is φ = 789626880.

The previous prime is 2577424121. The next prime is 2577424133. The reversal of 2577424128 is 8214247752.

It is a self number, because there is not a number n which added to its sum of digits gives 2577424128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577424121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559113 + ... + 563703.

It is an arithmetic number, because the mean of its divisors is an integer number (51623264).

Almost surely, 2^2577424128 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 2577424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716875008).

2577424128 is an abundant number, since it is smaller than the sum of its proper divisors (4856325888).

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

2577424128 is a wasteful number, since it uses less digits than its factorization.

2577424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4656 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 2577424128 is about 50768.3378494904. The cubic root of 2577424128 is about 1371.0773715792.

The spelling of 2577424128 in words is "two billion, five hundred seventy-seven million, four hundred twenty-four thousand, one hundred twenty-eight".