2482819416 has 144 divisors (see below), whose sum is σ = 8533385640. Its totient is φ = 644878080.

The previous prime is 2482819343. The next prime is 2482819457. The reversal of 2482819416 is 6149182842.

2482819416 is a `hidden beast` number, since 2 + 482 + 81 + 94 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6820 + ... + 70796.

Almost surely, 2^2482819416 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 2482819416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266692820).

2482819416 is an abundant number, since it is smaller than the sum of its proper divisors (6050566224).

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

2482819416 is a wasteful number, since it uses less digits than its factorization.

2482819416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64014 (or 64000 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2482819416 is about 49827.8979689089. The cubic root of 2482819416 is about 1354.0926403555.

It can be divided in two parts, 24828 and 19416, that added together give a palindrome (44244).

The spelling of 2482819416 in words is "two billion, four hundred eighty-two million, eight hundred nineteen thousand, four hundred sixteen".