2618647991040 has 1152 divisors, whose sum is σ = 9635157245952. Its totient is φ = 602222100480.

The previous prime is 2618647991039. The next prime is 2618647991119. The reversal of 2618647991040 is 401997468162.

It is a super-3 number, since 3×2618647991040³ (a number of 38 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 5911169059 + ... + 5911169501.

It is an arithmetic number, because the mean of its divisors is an integer number (8363851776).

Almost surely, 2^{2618647991040} is an apocalyptic number.

2618647991040 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 2618647991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817578622976).

2618647991040 is an abundant number, since it is smaller than the sum of its proper divisors (7016509254912).

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

2618647991040 is a wasteful number, since it uses less digits than its factorization.

2618647991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 2618647991040 in words is "two trillion, six hundred eighteen billion, six hundred forty-seven million, nine hundred ninety-one thousand, forty".