2108205066240 has 3840 divisors, whose sum is σ = 10356780994560. Its totient is φ = 397494190080.

The previous prime is 2108205066221. The next prime is 2108205066287. The reversal of 2108205066240 is 426605028012.

It is a happy number.

2108205066240 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 20 + 5 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2108205066195 and 2108205066204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39777454054 + ... + 39777454106.

It is an arithmetic number, because the mean of its divisors is an integer number (2697078384).

Almost surely, 2^{2108205066240} is an apocalyptic number.

2108205066240 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 2108205066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178390497280).

2108205066240 is an abundant number, since it is smaller than the sum of its proper divisors (8248575928320).

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

2108205066240 is a wasteful number, since it uses less digits than its factorization.

2108205066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2108205066240 in words is "two trillion, one hundred eight billion, two hundred five million, sixty-six thousand, two hundred forty".