2005328124540 has 960 divisors, whose sum is σ = 7204660493184. Its totient is φ = 463520268288.

The previous prime is 2005328124539. The next prime is 2005328124551. The reversal of 2005328124540 is 454218235002.

2005328124540 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 32 + 81 + 2 + 4 + 540 = 666.

It is a super-2 number, since 2×2005328124540² (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 junction number, because it is equal to n+sod(n) for n = 2005328124495 and 2005328124504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3250126312 + ... + 3250126928.

Almost surely, 2^{2005328124540} is an apocalyptic number.

2005328124540 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 2005328124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602330246592).

2005328124540 is an abundant number, since it is smaller than the sum of its proper divisors (5199332368644).

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

2005328124540 is a wasteful number, since it uses less digits than its factorization.

2005328124540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2005328124540 in words is "two trillion, five billion, three hundred twenty-eight million, one hundred twenty-four thousand, five hundred forty".