2209084395840 has 672 divisors, whose sum is σ = 8836171019520. Its totient is φ = 496127213568.

The previous prime is 2209084395811. The next prime is 2209084395863. The reversal of 2209084395840 is 485934809022.

2209084395840 is a `hidden beast` number, since 2 + 20 + 9 + 0 + 8 + 4 + 39 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407652651 + ... + 407658069.

Almost surely, 2^{2209084395840} is an apocalyptic number.

2209084395840 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 2209084395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418085509760).

2209084395840 is an abundant number, since it is smaller than the sum of its proper divisors (6627086623680).

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

2209084395840 is a wasteful number, since it uses less digits than its factorization.

2209084395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2209084395840 in words is "two trillion, two hundred nine billion, eighty-four million, three hundred ninety-five thousand, eight hundred forty".