2005720704 has 320 divisors, whose sum is σ = 6717997440. Its totient is φ = 589400064.

The previous prime is 2005720699. The next prime is 2005720709. The reversal of 2005720704 is 4070275002.

2005720704 is a `hidden beast` number, since 20 + 0 + 572 + 0 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2005720699) and next prime (2005720709).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005720709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3099709 + ... + 3100355.

It is an arithmetic number, because the mean of its divisors is an integer number (20993742).

Almost surely, 2^2005720704 is an apocalyptic number.

2005720704 is a gapful number since it is divisible by the number (24) 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 2005720704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358998720).

2005720704 is an abundant number, since it is smaller than the sum of its proper divisors (4712276736).

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

2005720704 is a wasteful number, since it uses less digits than its factorization.

2005720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2005720704 is about 44785.2732937960. The cubic root of 2005720704 is about 1261.1211789223.

Adding to 2005720704 its reverse (4070275002), we get a palindrome (6075995706).

The spelling of 2005720704 in words is "two billion, five million, seven hundred twenty thousand, seven hundred four".