2548879488 has 288 divisors, whose sum is σ = 8063087760. Its totient is φ = 801363456.

The previous prime is 2548879441. The next prime is 2548879511. The reversal of 2548879488 is 8849788452.

2548879488 = 309³ + 310³ + ... + 372³.

2548879488 is a `hidden beast` number, since 2 + 5 + 4 + 88 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11228431 + ... + 11228657.

Almost surely, 2^2548879488 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 2548879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031543880).

2548879488 is an abundant number, since it is smaller than the sum of its proper divisors (5514208272).

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

2548879488 is an equidigital number, since it uses as much as digits as its factorization.

2548879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 251 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The square root of 2548879488 is about 50486.4287507049. The cubic root of 2548879488 is about 1365.9970688778.

It can be divided in two parts, 25488 and 79488, that added together give a 4-th power (104976 = 18⁴).

The spelling of 2548879488 in words is "two billion, five hundred forty-eight million, eight hundred seventy-nine thousand, four hundred eighty-eight".