2482333102080 has 2496 divisors, whose sum is σ = 10620999462528. Its totient is φ = 550376570880.

The previous prime is 2482333102057. The next prime is 2482333102127. The reversal of 2482333102080 is 802013332842.

2482333102080 is a `hidden beast` number, since 248 + 2 + 3 + 3 + 310 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-3 number, since 3×2482333102080³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40693985250 + ... + 40693985310.

It is an arithmetic number, because the mean of its divisors is an integer number (4255208118).

Almost surely, 2^{2482333102080} is an apocalyptic number.

2482333102080 is a gapful number since it is divisible by the number (20) 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 2482333102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310499731264).

2482333102080 is an abundant number, since it is smaller than the sum of its proper divisors (8138666360448).

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

2482333102080 is a wasteful number, since it uses less digits than its factorization.

2482333102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2482333102080 in words is "two trillion, four hundred eighty-two billion, three hundred thirty-three million, one hundred two thousand, eighty".