2209111107840 has 3240 divisors, whose sum is σ = 10401901348608. Its totient is φ = 445628252160.

The previous prime is 2209111107839. The next prime is 2209111107857. The reversal of 2209111107840 is 487011119022.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2209111107795 and 2209111107804.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26615796439 + ... + 26615796521.

Almost surely, 2^{2209111107840} is an apocalyptic number.

2209111107840 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 2209111107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200950674304).

2209111107840 is an abundant number, since it is smaller than the sum of its proper divisors (8192790240768).

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

2209111107840 is a wasteful number, since it uses less digits than its factorization.

2209111107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 2209111107840 in words is "two trillion, two hundred nine billion, one hundred eleven million, one hundred seven thousand, eight hundred forty".