2482140252312 has 512 divisors, whose sum is σ = 8931409920000. Its totient is φ = 621611698176.

The previous prime is 2482140252311. The next prime is 2482140252343. The reversal of 2482140252312 is 2132520412842.

2482140252312 is a `hidden beast` number, since 2 + 4 + 82 + 1 + 40 + 2 + 523 + 12 = 666.

It is a super-2 number, since 2×2482140252312² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482140252311) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28771113 + ... + 28857255.

It is an arithmetic number, because the mean of its divisors is an integer number (17444160000).

Almost surely, 2^{2482140252312} 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 2482140252312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465704960000).

2482140252312 is an abundant number, since it is smaller than the sum of its proper divisors (6449269667688).

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

2482140252312 is a wasteful number, since it uses less digits than its factorization.

2482140252312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86260 (or 86250 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2482140252312 in words is "two trillion, four hundred eighty-two billion, one hundred forty million, two hundred fifty-two thousand, three hundred twelve".