2414813148 has 240 divisors, whose sum is σ = 7288807680. Its totient is φ = 689990400.

The previous prime is 2414813143. The next prime is 2414813207. The reversal of 2414813148 is 8413184142.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414813143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7295343 + ... + 7295673.

It is an arithmetic number, because the mean of its divisors is an integer number (30370032).

Almost surely, 2^2414813148 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 2414813148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644403840).

2414813148 is an abundant number, since it is smaller than the sum of its proper divisors (4873994532).

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

2414813148 is a wasteful number, since it uses less digits than its factorization.

2414813148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2414813148 is about 49140.7483459501. The cubic root of 2414813148 is about 1341.6148104970.

The spelling of 2414813148 in words is "two billion, four hundred fourteen million, eight hundred thirteen thousand, one hundred forty-eight".