2618482436640 has 288 divisors, whose sum is σ = 10214465264640. Its totient is φ = 598370568192.

The previous prime is 2618482436569. The next prime is 2618482436677. The reversal of 2618482436640 is 466342848162.

It is a happy number.

2618482436640 is a `hidden beast` number, since 2 + 61 + 8 + 482 + 4 + 3 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2618482436640² (a number of 26 digits) contains 22 as substring.

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, 46733122 + ... + 46789118.

It is an arithmetic number, because the mean of its divisors is an integer number (35466893280).

Almost surely, 2^{2618482436640} is an apocalyptic number.

2618482436640 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 2618482436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107232632320).

2618482436640 is an abundant number, since it is smaller than the sum of its proper divisors (7595982828000).

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

2618482436640 is a wasteful number, since it uses less digits than its factorization.

2618482436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60664 (or 60653 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2618482436640 in words is "two trillion, six hundred eighteen billion, four hundred eighty-two million, four hundred thirty-six thousand, six hundred forty".