2013296640 has 96 divisors (see below), whose sum is σ = 6441074640. Its totient is φ = 536870912.

The previous prime is 2013296633. The next prime is 2013296647. The reversal of 2013296640 is 466923102.

It is an interprime number because it is at equal distance from previous prime (2013296633) and next prime (2013296647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013296647) by changing a digit.

In principle, a polygon with 2013296640 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 63488.

Almost surely, 2^2013296640 is an apocalyptic number.

2013296640 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 2013296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220537320).

2013296640 is an abundant number, since it is smaller than the sum of its proper divisors (4427778000).

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

2013296640 is an equidigital number, since it uses as much as digits as its factorization.

2013296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65567 (or 65547 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2013296640 is about 44869.7742361158. The cubic root of 2013296640 is about 1262.7070044518.

The spelling of 2013296640 in words is "two billion, thirteen million, two hundred ninety-six thousand, six hundred forty".