2089344004020 has 960 divisors, whose sum is σ = 8238596889600. Its totient is φ = 431540379648.

The previous prime is 2089344004009. The next prime is 2089344004021. The reversal of 2089344004020 is 204004439802.

2089344004020 is a `hidden beast` number, since 208 + 9 + 3 + 4 + 40 + 0 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089344004021) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1603486689 + ... + 1603487991.

It is an arithmetic number, because the mean of its divisors is an integer number (8581871760).

Almost surely, 2^{2089344004020} is an apocalyptic number.

2089344004020 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 2089344004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119298444800).

2089344004020 is an abundant number, since it is smaller than the sum of its proper divisors (6149252885580).

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

2089344004020 is a wasteful number, since it uses less digits than its factorization.

2089344004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2089344004020 in words is "two trillion, eighty-nine billion, three hundred forty-four million, four thousand, twenty".