2005710420 has 96 divisors (see below), whose sum is σ = 6428491776. Its totient is φ = 457718400.

The previous prime is 2005710403. The next prime is 2005710449. The reversal of 2005710420 is 240175002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286765 + ... + 293675.

It is an arithmetic number, because the mean of its divisors is an integer number (66963456).

Almost surely, 2^2005710420 is an apocalyptic number.

2005710420 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 2005710420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214245888).

2005710420 is an abundant number, since it is smaller than the sum of its proper divisors (4422781356).

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

2005710420 is a wasteful number, since it uses less digits than its factorization.

2005710420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2005710420 is about 44785.1584791212. The cubic root of 2005710420 is about 1261.1190235221.

Adding to 2005710420 its reverse (240175002), we get a palindrome (2245885422).

The spelling of 2005710420 in words is "two billion, five million, seven hundred ten thousand, four hundred twenty".