2413286832 has 80 divisors (see below), whose sum is σ = 6846347520. Its totient is φ = 726432000.

The previous prime is 2413286801. The next prime is 2413286857. The reversal of 2413286832 is 2386823142.

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

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 15 ways as a sum of consecutive naturals, for example, 64594 + ... + 94862.

It is an arithmetic number, because the mean of its divisors is an integer number (85579344).

Almost surely, 2^2413286832 is an apocalyptic number.

2413286832 is a gapful number since it is divisible by the number (22) 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 2413286832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423173760).

2413286832 is an abundant number, since it is smaller than the sum of its proper divisors (4433060688).

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

2413286832 is a wasteful number, since it uses less digits than its factorization.

2413286832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30442 (or 30436 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 2413286832 is about 49125.2158468540. The cubic root of 2413286832 is about 1341.3320888661.

It can be divided in two parts, 241328 and 6832, that added together give a triangular number (248160 = T₇₀₄).

The spelling of 2413286832 in words is "two billion, four hundred thirteen million, two hundred eighty-six thousand, eight hundred thirty-two".