2005610496 has 104 divisors (see below), whose sum is σ = 5662798704. Its totient is φ = 629145600.

The previous prime is 2005610483. The next prime is 2005610561. The reversal of 2005610496 is 6940165002.

It is a zygodrome in base 15.

It is a congruent number.

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, 204096 + ... + 213696.

Almost surely, 2^2005610496 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 2005610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831399352).

2005610496 is an abundant number, since it is smaller than the sum of its proper divisors (3657188208).

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

2005610496 is an equidigital number, since it uses as much as digits as its factorization.

2005610496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2005610496 is about 44784.0428724339. The cubic root of 2005610496 is about 1261.0980802944.

Adding to 2005610496 its reverse (6940165002), we get a palindrome (8945775498).

The spelling of 2005610496 in words is "two billion, five million, six hundred ten thousand, four hundred ninety-six".