2106336861504 has 224 divisors, whose sum is σ = 6598626985600. Its totient is φ = 665158169088.

The previous prime is 2106336861479. The next prime is 2106336861509. The reversal of 2106336861504 is 4051686336012.

2106336861504 is a `hidden beast` number, since 2 + 1 + 0 + 63 + 3 + 6 + 86 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2106336861504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106336861509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2263374 + ... + 3055410.

Almost surely, 2^{2106336861504} is an apocalyptic number.

2106336861504 is a gapful number since it is divisible by the number (24) 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 2106336861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299313492800).

2106336861504 is an abundant number, since it is smaller than the sum of its proper divisors (4492290124096).

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

2106336861504 is an frugal number, since it uses more digits than its factorization.

2106336861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792089 (or 792061 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2106336861504 in words is "two trillion, one hundred six billion, three hundred thirty-six million, eight hundred sixty-one thousand, five hundred four".