2488584954240 has 1280 divisors, whose sum is σ = 11169648230400. Its totient is φ = 512932331520.

The previous prime is 2488584954239. The next prime is 2488584954257. The reversal of 2488584954240 is 424594858842.

2488584954240 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 5 + 8 + 49 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 506940906 + ... + 506945814.

It is an arithmetic number, because the mean of its divisors is an integer number (8726287680).

Almost surely, 2^{2488584954240} is an apocalyptic number.

2488584954240 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 2488584954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584824115200).

2488584954240 is an abundant number, since it is smaller than the sum of its proper divisors (8681063276160).

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

2488584954240 is a wasteful number, since it uses less digits than its factorization.

2488584954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 2488584954240 in words is "two trillion, four hundred eighty-eight billion, five hundred eighty-four million, nine hundred fifty-four thousand, two hundred forty".