2488458240 has 352 divisors, whose sum is σ = 9055272960. Its totient is φ = 647774208.

The previous prime is 2488458229. The next prime is 2488458241. The reversal of 2488458240 is 428548842.

2488458240 is a `hidden beast` number, since 24 + 8 + 8 + 4 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488458241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497089 + ... + 6497471.

Almost surely, 2^2488458240 is an apocalyptic number.

2488458240 is a gapful number since it is divisible by the number (20) 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 2488458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527636480).

2488458240 is an abundant number, since it is smaller than the sum of its proper divisors (6566814720).

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

2488458240 is a wasteful number, since it uses less digits than its factorization.

2488458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 2488458240 is about 49884.4488793852. The cubic root of 2488458240 is about 1355.1169754181.

The spelling of 2488458240 in words is "two billion, four hundred eighty-eight million, four hundred fifty-eight thousand, two hundred forty".