2005784652960 has 768 divisors, whose sum is σ = 7858117048320. Its totient is φ = 473636782080.

The previous prime is 2005784652931. The next prime is 2005784652967. The reversal of 2005784652960 is 692564875002.

2005784652960 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 78 + 46 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2005784652897 and 2005784652906.

It is not an unprimeable number, because it can be changed into a prime (2005784652967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 884773747 + ... + 884776013.

It is an arithmetic number, because the mean of its divisors is an integer number (10231923240).

Almost surely, 2^{2005784652960} is an apocalyptic number.

2005784652960 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 2005784652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929058524160).

2005784652960 is an abundant number, since it is smaller than the sum of its proper divisors (5852332395360).

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

2005784652960 is a wasteful number, since it uses less digits than its factorization.

2005784652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2005784652960 in words is "two trillion, five billion, seven hundred eighty-four million, six hundred fifty-two thousand, nine hundred sixty".