2413887168 has 448 divisors, whose sum is σ = 8614379520. Its totient is φ = 577843200.

The previous prime is 2413887143. The next prime is 2413887169. The reversal of 2413887168 is 8617883142.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (2413887169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10540878 + ... + 10541106.

Almost surely, 2^2413887168 is an apocalyptic number.

2413887168 is a gapful number since it is divisible by the number (28) 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 2413887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307189760).

2413887168 is an abundant number, since it is smaller than the sum of its proper divisors (6200492352).

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

2413887168 is a wasteful number, since it uses less digits than its factorization.

2413887168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 2413887168 is about 49131.3257301286. The cubic root of 2413887168 is about 1341.4433041552.

The spelling of 2413887168 in words is "two billion, four hundred thirteen million, eight hundred eighty-seven thousand, one hundred sixty-eight".