2577963248 has 40 divisors (see below), whose sum is σ = 5816065248. Its totient is φ = 1083992832.

The previous prime is 2577963229. The next prime is 2577963253. The reversal of 2577963248 is 8423697752.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 2577963248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211211 + ... + 223082.

Almost surely, 2^2577963248 is an apocalyptic number.

2577963248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2577963248 is an abundant number, since it is smaller than the sum of its proper divisors (3238102000).

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

2577963248 is a wasteful number, since it uses less digits than its factorization.

2577963248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434361 (or 434355 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The square root of 2577963248 is about 50773.6471804026. The cubic root of 2577963248 is about 1371.1729610339.

The spelling of 2577963248 in words is "two billion, five hundred seventy-seven million, nine hundred sixty-three thousand, two hundred forty-eight".