2682332133120 has 864 divisors, whose sum is σ = 9879446216640. Its totient is φ = 696570347520.

The previous prime is 2682332133079. The next prime is 2682332133121. The reversal of 2682332133120 is 213312332862.

2682332133120 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 332 + 1 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (2682332133121) 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 95 ways as a sum of consecutive naturals, for example, 2068104312 + ... + 2068105608.

Almost surely, 2^{2682332133120} is an apocalyptic number.

2682332133120 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 2682332133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939723108320).

2682332133120 is an abundant number, since it is smaller than the sum of its proper divisors (7197114083520).

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

2682332133120 is a wasteful number, since it uses less digits than its factorization.

2682332133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 2682332133120 its reverse (213312332862), we get a palindrome (2895644465982).

The spelling of 2682332133120 in words is "two trillion, six hundred eighty-two billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".