2089711042560 has 532 divisors, whose sum is σ = 7522943831448. Its totient is φ = 557256278016.

The previous prime is 2089711042537. The next prime is 2089711042567. The reversal of 2089711042560 is 652401179802.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)¹⁰ ⋅ 2!.

2089711042560 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 71 + 10 + 4 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089711042567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 417942208510 + ... + 417942208514.

Almost surely, 2^{2089711042560} is an apocalyptic number.

2089711042560 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 2089711042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761471915724).

2089711042560 is an abundant number, since it is smaller than the sum of its proper divisors (5433232788888).

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

2089711042560 is an frugal number, since it uses more digits than its factorization.

2089711042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2089711042560 in words is "two trillion, eighty-nine billion, seven hundred eleven million, forty-two thousand, five hundred sixty".