2468559829536 has 144 divisors (see below), whose sum is σ = 7060225536000. Its totient is φ = 818140207104.

The previous prime is 2468559829517. The next prime is 2468559829553. The reversal of 2468559829536 is 6359289558642.

2468559829536 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 5 + 5 + 9 + 82 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85323105 + ... + 85352031.

It is an arithmetic number, because the mean of its divisors is an integer number (49029344000).

Almost surely, 2^{2468559829536} 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 2468559829536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530112768000).

2468559829536 is an abundant number, since it is smaller than the sum of its proper divisors (4591665706464).

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

2468559829536 is a wasteful number, since it uses less digits than its factorization.

2468559829536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30631 (or 30620 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 2468559829536 in words is "two trillion, four hundred sixty-eight billion, five hundred fifty-nine million, eight hundred twenty-nine thousand, five hundred thirty-six".