2106408198528 has 224 divisors, whose sum is σ = 6306116401200. Its totient is φ = 700523043840.

The previous prime is 2106408198527. The next prime is 2106408198551. The reversal of 2106408198528 is 8258918046012.

2106408198528 is a `hidden beast` number, since 2 + 106 + 4 + 0 + 8 + 1 + 9 + 8 + 528 = 666.

It is a super-2 number, since 2×2106408198528² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106408198527) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40938258 + ... + 40989678.

Almost surely, 2^{2106408198528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106408198528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153058200600).

2106408198528 is an abundant number, since it is smaller than the sum of its proper divisors (4199708202672).

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

2106408198528 is an frugal number, since it uses more digits than its factorization.

2106408198528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51892 (or 51865 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 2106408198528 in words is "two trillion, one hundred six billion, four hundred eight million, one hundred ninety-eight thousand, five hundred twenty-eight".