2005415620560 has 240 divisors, whose sum is σ = 7350022300608. Its totient is φ = 485968896000.

The previous prime is 2005415620541. The next prime is 2005415620567. The reversal of 2005415620560 is 650265145002.

2005415620560 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 41 + 56 + 2 + 0 + 560 = 666.

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

It is a super-2 number, since 2×2005415620560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005415620567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20487735 + ... + 20585385.

Almost surely, 2^{2005415620560} is an apocalyptic number.

2005415620560 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 2005415620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675011150304).

2005415620560 is an abundant number, since it is smaller than the sum of its proper divisors (5344606680048).

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

2005415620560 is a wasteful number, since it uses less digits than its factorization.

2005415620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100274 (or 100265 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2005415620560 in words is "two trillion, five billion, four hundred fifteen million, six hundred twenty thousand, five hundred sixty".