2015413344 has 144 divisors (see below), whose sum is σ = 6580933632. Its totient is φ = 573122304.

The previous prime is 2015413331. The next prime is 2015413357. The reversal of 2015413344 is 4433145102.

It is a happy number.

2015413344 is a `hidden beast` number, since 201 + 5 + 413 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2015413331) and next prime (2015413357).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447327 + ... + 451809.

It is an arithmetic number, because the mean of its divisors is an integer number (45700928).

Almost surely, 2^2015413344 is an apocalyptic number.

2015413344 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 2015413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290466816).

2015413344 is an abundant number, since it is smaller than the sum of its proper divisors (4565520288).

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

2015413344 is a wasteful number, since it uses less digits than its factorization.

2015413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2015413344 is about 44893.3552321499. The cubic root of 2015413344 is about 1263.1493702670.

Adding to 2015413344 its reverse (4433145102), we get a palindrome (6448558446).

The spelling of 2015413344 in words is "two billion, fifteen million, four hundred thirteen thousand, three hundred forty-four".