2577991248 has 480 divisors, whose sum is σ = 9448538112. Its totient is φ = 638668800.

The previous prime is 2577991201. The next prime is 2577991267. The reversal of 2577991248 is 8421997752.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (294).

It is a junction number, because it is equal to n+sod(n) for n = 2577991194 and 2577991203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12217863 + ... + 12218073.

Almost surely, 2^2577991248 is an apocalyptic number.

2577991248 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 2577991248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724269056).

2577991248 is an abundant number, since it is smaller than the sum of its proper divisors (6870546864).

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

2577991248 is a wasteful number, since it uses less digits than its factorization.

2577991248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 2577991248 is about 50773.9229132436. The cubic root of 2577991248 is about 1371.1779252505.

The spelling of 2577991248 in words is "two billion, five hundred seventy-seven million, nine hundred ninety-one thousand, two hundred forty-eight".