2413132416 has 96 divisors (see below), whose sum is σ = 6963621600. Its totient is φ = 802109952.

The previous prime is 2413132409. The next prime is 2413132417. The reversal of 2413132416 is 6142313142.

It is a happy number.

2413132416 is a `hidden beast` number, since 2 + 413 + 1 + 3 + 241 + 6 = 666.

2413132416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2413132416.

It is not an unprimeable number, because it can be changed into a prime (2413132417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433845 + ... + 439371.

It is an arithmetic number, because the mean of its divisors is an integer number (72537725).

Almost surely, 2^2413132416 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 2413132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481810800).

2413132416 is an abundant number, since it is smaller than the sum of its proper divisors (4550489184).

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

2413132416 is a wasteful number, since it uses less digits than its factorization.

2413132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5911 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2413132416 is about 49123.6441644958. The cubic root of 2413132416 is about 1341.3034795367.

Adding to 2413132416 its reverse (6142313142), we get a palindrome (8555445558).

The spelling of 2413132416 in words is "two billion, four hundred thirteen million, one hundred thirty-two thousand, four hundred sixteen".