2482416202752 has 264 divisors, whose sum is σ = 7396025460096. Its totient is φ = 801503576064.

The previous prime is 2482416202751. The next prime is 2482416202757. The reversal of 2482416202752 is 2572026142842.

2482416202752 is a `hidden beast` number, since 2 + 482 + 4 + 162 + 0 + 2 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2482416202698 and 2482416202707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482416202751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41986203 + ... + 42045285.

Almost surely, 2^{2482416202752} 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 2482416202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698012730048).

2482416202752 is an abundant number, since it is smaller than the sum of its proper divisors (4913609257344).

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

2482416202752 is a wasteful number, since it uses less digits than its factorization.

2482416202752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59253 (or 59232 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2482416202752 in words is "two trillion, four hundred eighty-two billion, four hundred sixteen million, two hundred two thousand, seven hundred fifty-two".