2005681360320 has 672 divisors, whose sum is σ = 7780413947904. Its totient is φ = 469827993600.

The previous prime is 2005681360301. The next prime is 2005681360357. The reversal of 2005681360320 is 230631865002.

It is a happy number.

2005681360320 is a `hidden beast` number, since 2 + 0 + 0 + 568 + 1 + 3 + 60 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935921169 + ... + 935923311.

Almost surely, 2^{2005681360320} is an apocalyptic number.

2005681360320 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 2005681360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890206973952).

2005681360320 is an abundant number, since it is smaller than the sum of its proper divisors (5774732587584).

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

2005681360320 is a wasteful number, since it uses less digits than its factorization.

2005681360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2005681360320 in words is "two trillion, five billion, six hundred eighty-one million, three hundred sixty thousand, three hundred twenty".