2106211419840 has 448 divisors, whose sum is σ = 7499037998592. Its totient is φ = 496413081600.

The previous prime is 2106211419773. The next prime is 2106211419887. The reversal of 2106211419840 is 489141126012.

It is a super-2 number, since 2×2106211419840² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126848979 + ... + 126865581.

It is an arithmetic number, because the mean of its divisors is an integer number (16738924104).

Almost surely, 2^{2106211419840} is an apocalyptic number.

2106211419840 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 2106211419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749518999296).

2106211419840 is an abundant number, since it is smaller than the sum of its proper divisors (5392826578752).

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

2106211419840 is a wasteful number, since it uses less digits than its factorization.

2106211419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16958 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 2106211419840 in words is "two trillion, one hundred six billion, two hundred eleven million, four hundred nineteen thousand, eight hundred forty".