2101352647680 has 2464 divisors, whose sum is σ = 9237585788928. Its totient is φ = 451480780800.

The previous prime is 2101352647661. The next prime is 2101352647697. The reversal of 2101352647680 is 867462531012.

2101352647680 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 526 + 47 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16546083777 + ... + 16546083903.

Almost surely, 2^{2101352647680} is an apocalyptic number.

2101352647680 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 2101352647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618792894464).

2101352647680 is an abundant number, since it is smaller than the sum of its proper divisors (7136233141248).

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

2101352647680 is a wasteful number, since it uses less digits than its factorization.

2101352647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

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

The spelling of 2101352647680 in words is "two trillion, one hundred one billion, three hundred fifty-two million, six hundred forty-seven thousand, six hundred eighty".