2101643680752 has 240 divisors, whose sum is σ = 7336085103360. Its totient is φ = 545652403200.

The previous prime is 2101643680621. The next prime is 2101643680769. The reversal of 2101643680752 is 2570863461012.

2101643680752 is a `hidden beast` number, since 210 + 1 + 6 + 4 + 368 + 0 + 75 + 2 = 666.

It is a super-3 number, since 3×2101643680752³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101643680698 and 2101643680707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27226852 + ... + 27303932.

It is an arithmetic number, because the mean of its divisors is an integer number (30567021264).

Almost surely, 2^{2101643680752} is an apocalyptic number.

2101643680752 is a gapful number since it is divisible by the number (22) 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 2101643680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668042551680).

2101643680752 is an abundant number, since it is smaller than the sum of its proper divisors (5234441422608).

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

2101643680752 is a wasteful number, since it uses less digits than its factorization.

2101643680752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79572 (or 79563 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2101643680752 in words is "two trillion, one hundred one billion, six hundred forty-three million, six hundred eighty thousand, seven hundred fifty-two".