2102132551680 has 468 divisors, whose sum is σ = 8476172875872. Its totient is φ = 480485376000.

The previous prime is 2102132551667. The next prime is 2102132551709. The reversal of 2102132551680 is 861552312012.

2102132551680 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 132 + 5 + 516 + 8 + 0 = 666.

It is a super-2 number, since 2×2102132551680² (a number of 25 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8915305 + ... + 9148055.

It is an arithmetic number, because the mean of its divisors is an integer number (18111480504).

Almost surely, 2^{2102132551680} is an apocalyptic number.

2102132551680 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 2102132551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238086437936).

2102132551680 is an abundant number, since it is smaller than the sum of its proper divisors (6374040324192).

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

2102132551680 is a wasteful number, since it uses less digits than its factorization.

2102132551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232800 (or 232768 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 2102132551680 its reverse (861552312012), we get a palindrome (2963684863692).

The spelling of 2102132551680 in words is "two trillion, one hundred two billion, one hundred thirty-two million, five hundred fifty-one thousand, six hundred eighty".