2182515739992 has 512 divisors, whose sum is σ = 7368288768000. Its totient is φ = 585415434240.

The previous prime is 2182515739973. The next prime is 2182515739993. The reversal of 2182515739992 is 2999375152812.

2182515739992 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 5 + 157 + 399 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182515739993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262601517 + ... + 262609827.

It is an arithmetic number, because the mean of its divisors is an integer number (14391189000).

Almost surely, 2^{2182515739992} 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 2182515739992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684144384000).

2182515739992 is an abundant number, since it is smaller than the sum of its proper divisors (5185773028008).

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

2182515739992 is a wasteful number, since it uses less digits than its factorization.

2182515739992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8518 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 2182515739992 in words is "two trillion, one hundred eighty-two billion, five hundred fifteen million, seven hundred thirty-nine thousand, nine hundred ninety-two".