2413231776 has 72 divisors (see below), whose sum is σ = 6926853024. Its totient is φ = 796882560.

The previous prime is 2413231763. The next prime is 2413231811. The reversal of 2413231776 is 6771323142.

2413231776 is a `hidden beast` number, since 2 + 413 + 231 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2413231776² = 11647375209392228352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2413231776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8340 + ... + 69971.

It is an arithmetic number, because the mean of its divisors is an integer number (96206292).

Almost surely, 2^2413231776 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 2413231776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463426512).

2413231776 is an abundant number, since it is smaller than the sum of its proper divisors (4513621248).

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

2413231776 is a wasteful number, since it uses less digits than its factorization.

2413231776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78434 (or 78423 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2413231776 is about 49124.6554797079. The cubic root of 2413231776 is about 1341.3218885396.

The spelling of 2413231776 in words is "two billion, four hundred thirteen million, two hundred thirty-one thousand, seven hundred seventy-six".