2482832461824 has 936 divisors, whose sum is σ = 8679526442496. Its totient is φ = 678975897600.

The previous prime is 2482832461807. The next prime is 2482832461843. The reversal of 2482832461824 is 4281642382842.

It is a happy number.

2482832461824 is a `hidden beast` number, since 2 + 4 + 82 + 83 + 2 + 461 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2725391929 + ... + 2725392839.

It is an arithmetic number, because the mean of its divisors is an integer number (9272998336).

Almost surely, 2^{2482832461824} is an apocalyptic number.

2482832461824 is a gapful number since it is divisible by the number (24) 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 2482832461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339763221248).

2482832461824 is an abundant number, since it is smaller than the sum of its proper divisors (6196693980672).

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

2482832461824 is a wasteful number, since it uses less digits than its factorization.

2482832461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 987 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

It can be divided in two parts, 2482832 and 461824, that added together give a square (2944656 = 1716²).

The spelling of 2482832461824 in words is "two trillion, four hundred eighty-two billion, eight hundred thirty-two million, four hundred sixty-one thousand, eight hundred twenty-four".