2005244672 has 72 divisors (see below), whose sum is σ = 4274739840. Its totient is φ = 936714240.

The previous prime is 2005244669. The next prime is 2005244699. The reversal of 2005244672 is 2764425002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225788 + ... + 234500.

Almost surely, 2^2005244672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137369920).

2005244672 is an abundant number, since it is smaller than the sum of its proper divisors (2269495168).

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

2005244672 is an equidigital number, since it uses as much as digits as its factorization.

2005244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2005244672 is about 44779.9583742549. The cubic root of 2005244672 is about 1261.0214007335.

Adding to 2005244672 its reverse (2764425002), we get a palindrome (4769669674).

The spelling of 2005244672 in words is "two billion, five million, two hundred forty-four thousand, six hundred seventy-two".