2005464320 has 36 divisors (see below), whose sum is σ = 4803716820. Its totient is φ = 802185216.

The previous prime is 2005464287. The next prime is 2005464341. The reversal of 2005464320 is 234645002.

It can be written as a sum of positive squares in 2 ways, for example, as 673506304 + 1331958016 = 25952^2 + 36496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2005464320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782105 + ... + 784664.

Almost surely, 2^2005464320 is an apocalyptic number.

2005464320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005464320 is an abundant number, since it is smaller than the sum of its proper divisors (2798252500).

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

2005464320 is an equidigital number, since it uses as much as digits as its factorization.

2005464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566790 (or 1566776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2005464320 is about 44782.4108328259. The cubic root of 2005464320 is about 1261.0674417844.

The spelling of 2005464320 in words is "two billion, five million, four hundred sixty-four thousand, three hundred twenty".