2106641571840 has 1232 divisors, whose sum is σ = 8288634413808. Its totient is φ = 510818254848.

The previous prime is 2106641571829. The next prime is 2106641571887. The reversal of 2106641571840 is 481751466012.

2106641571840 is a `hidden beast` number, since 2 + 10 + 6 + 64 + 1 + 571 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 31442411487 + ... + 31442411553.

Almost surely, 2^{2106641571840} is an apocalyptic number.

2106641571840 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 2106641571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144317206904).

2106641571840 is an abundant number, since it is smaller than the sum of its proper divisors (6181992841968).

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

2106641571840 is an frugal number, since it uses more digits than its factorization.

2106641571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2106641571840 in words is "two trillion, one hundred six billion, six hundred forty-one million, five hundred seventy-one thousand, eight hundred forty".