2468579088240 has 240 divisors, whose sum is σ = 8706192768000. Its totient is φ = 649954596096.

The previous prime is 2468579088193. The next prime is 2468579088253. The reversal of 2468579088240 is 428809758642.

2468579088240 is a `hidden beast` number, since 2 + 468 + 5 + 7 + 90 + 8 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732061 + ... + 2339459.

It is an arithmetic number, because the mean of its divisors is an integer number (36275803200).

Almost surely, 2^{2468579088240} is an apocalyptic number.

2468579088240 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 2468579088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353096384000).

2468579088240 is an abundant number, since it is smaller than the sum of its proper divisors (6237613679760).

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

2468579088240 is a wasteful number, since it uses less digits than its factorization.

2468579088240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607506 (or 1607488 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2468579088240 in words is "two trillion, four hundred sixty-eight billion, five hundred seventy-nine million, eighty-eight thousand, two hundred forty".