2005513464 has 64 divisors (see below), whose sum is σ = 5137799040. Its totient is φ = 652014720.

The previous prime is 2005513439. The next prime is 2005513501. The reversal of 2005513464 is 4643155002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275799 + ... + 1277369.

It is an arithmetic number, because the mean of its divisors is an integer number (80278110).

Almost surely, 2^2005513464 is an apocalyptic number.

2005513464 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 2005513464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568899520).

2005513464 is an abundant number, since it is smaller than the sum of its proper divisors (3132285576).

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

2005513464 is a wasteful number, since it uses less digits than its factorization.

2005513464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2005513464 is about 44782.9595270344. The cubic root of 2005513464 is about 1261.0777425398.

Adding to 2005513464 its reverse (4643155002), we get a palindrome (6648668466).

The spelling of 2005513464 in words is "two billion, five million, five hundred thirteen thousand, four hundred sixty-four".