2618421313536 has 672 divisors, whose sum is σ = 9137521326330. Its totient is φ = 747785945088.

The previous prime is 2618421313513. The next prime is 2618421313591. The reversal of 2618421313536 is 6353131248162.

2618421313536 is a `hidden beast` number, since 2 + 6 + 1 + 84 + 2 + 1 + 31 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1901486555136 + 716934758400 = 1378944^2 + 846720^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2618421313536² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2618421313491 and 2618421313500.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1170504610 + ... + 1170506846.

Almost surely, 2^{2618421313536} 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 2618421313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568760663165).

2618421313536 is an abundant number, since it is smaller than the sum of its proper divisors (6519100012794).

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

2618421313536 is an frugal number, since it uses more digits than its factorization.

2618421313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2249 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 2618421313536 in words is "two trillion, six hundred eighteen billion, four hundred twenty-one million, three hundred thirteen thousand, five hundred thirty-six".