2100209322240 has 216 divisors, whose sum is σ = 7271193541248. Its totient is φ = 559694499840.

The previous prime is 2100209322187. The next prime is 2100209322259. The reversal of 2100209322240 is 422239020012.

2100209322240 is a `hidden beast` number, since 210 + 0 + 209 + 3 + 2 + 2 + 240 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18039897 + ... + 18155943.

Almost surely, 2^{2100209322240} is an apocalyptic number.

2100209322240 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 2100209322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635596770624).

2100209322240 is an abundant number, since it is smaller than the sum of its proper divisors (5170984219008).

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

2100209322240 is a wasteful number, since it uses less digits than its factorization.

2100209322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117645 (or 117628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2100209322240 in words is "two trillion, one hundred billion, two hundred nine million, three hundred twenty-two thousand, two hundred forty".