2106697881600 has 1728 divisors, whose sum is σ = 8723327296320. Its totient is φ = 481296384000.

The previous prime is 2106697881581. The next prime is 2106697881641. The reversal of 2106697881600 is 61887966012.

2106697881600 is a `hidden beast` number, since 21 + 0 + 6 + 6 + 9 + 7 + 8 + 8 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13951641525 + ... + 13951641675.

It is an arithmetic number, because the mean of its divisors is an integer number (5048221815).

Almost surely, 2^{2106697881600} is an apocalyptic number.

2106697881600 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 2106697881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361663648160).

2106697881600 is an abundant number, since it is smaller than the sum of its proper divisors (6616629414720).

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

2106697881600 is a wasteful number, since it uses less digits than its factorization.

2106697881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2106697881600 in words is "two trillion, one hundred six billion, six hundred ninety-seven million, eight hundred eighty-one thousand, six hundred".