2013344736 has 96 divisors (see below), whose sum is σ = 5705834400. Its totient is φ = 617938944.

The previous prime is 2013344719. The next prime is 2013344737. The reversal of 2013344736 is 6374433102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013344697 and 2013344706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013344737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558556 + ... + 562148.

It is an arithmetic number, because the mean of its divisors is an integer number (59435775).

Almost surely, 2^2013344736 is an apocalyptic number.

2013344736 is a gapful number since it is divisible by the number (26) 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 2013344736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852917200).

2013344736 is an abundant number, since it is smaller than the sum of its proper divisors (3692489664).

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

2013344736 is a wasteful number, since it uses less digits than its factorization.

2013344736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 2013344736 is about 44870.3101839067. The cubic root of 2013344736 is about 1262.7170593822.

Adding to 2013344736 its reverse (6374433102), we get a palindrome (8387777838).

The spelling of 2013344736 in words is "two billion, thirteen million, three hundred forty-four thousand, seven hundred thirty-six".