2089709107200 has 2592 divisors, whose sum is σ = 9388679554800. Its totient is φ = 452542464000.

The previous prime is 2089709107177. The next prime is 2089709107217. The reversal of 2089709107200 is 27019079802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 67409971185 + ... + 67409971215.

Almost surely, 2^{2089709107200} is an apocalyptic number.

2089709107200 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 2089709107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694339777400).

2089709107200 is an abundant number, since it is smaller than the sum of its proper divisors (7298970447600).

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

2089709107200 is a wasteful number, since it uses less digits than its factorization.

2089709107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 2089709107200 in words is "two trillion, eighty-nine billion, seven hundred nine million, one hundred seven thousand, two hundred".