2483623296 has 768 divisors, whose sum is σ = 9944363520. Its totient is φ = 597196800.

The previous prime is 2483623243. The next prime is 2483623309. The reversal of 2483623296 is 6923263842.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40715106 + ... + 40715166.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390).

Almost surely, 2^2483623296 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 2483623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2483623296 is an abundant number, since it is smaller than the sum of its proper divisors (7460740224).

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

2483623296 is a wasteful number, since it uses less digits than its factorization.

2483623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2483623296 is about 49835.9638815183. The cubic root of 2483623296 is about 1354.2387659693.

The spelling of 2483623296 in words is "two billion, four hundred eighty-three million, six hundred twenty-three thousand, two hundred ninety-six".