2582431488 has 432 divisors, whose sum is σ = 9329960640. Its totient is φ = 668860416.

The previous prime is 2582431483. The next prime is 2582431541. The reversal of 2582431488 is 8841342852.

2582431488 is a `hidden beast` number, since 258 + 2 + 4 + 314 + 88 = 666.

It is a super-3 number, since 3×2582431488³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582431483) 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, 22853320 + ... + 22853432.

Almost surely, 2^2582431488 is an apocalyptic number.

2582431488 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 2582431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664980320).

2582431488 is an abundant number, since it is smaller than the sum of its proper divisors (6747529152).

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

2582431488 is a wasteful number, since it uses less digits than its factorization.

2582431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 2582431488 is about 50817.6296967893. The cubic root of 2582431488 is about 1371.9646963408.

The spelling of 2582431488 in words is "two billion, five hundred eighty-two million, four hundred thirty-one thousand, four hundred eighty-eight".